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Finding the Fourth Proportional to 27,907.21, 38,512.02 and 16,419.16

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Solution

The fourth proportional to 27,907.21, 38,512.02 and 16,419.16 is: 22,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.21 : 38,512.02 = 16,419.16 : x
  2. Step 2: Convert to fraction form
    27,907.21/38,512.02 = 16,419.16/x
  3. Step 3: Cross multiply
    27,907.21x = 38,512.02 × 16,419.16
  4. Step 4: Simplify right side
    27,907.21x = 632,335,018.30
  5. Step 5: Solve for x
    x = 632,335,018.30/27,907.21
  6. Step 6: Final answer
    x = 22,658.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.