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Finding the Fourth Proportional to 27,907.68, 38,512.32 and 15,332.16

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Solution

The fourth proportional to 27,907.68, 38,512.32 and 15,332.16 is: 21,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.68 : 38,512.32 = 15,332.16 : x
  2. Step 2: Convert to fraction form
    27,907.68/38,512.32 = 15,332.16/x
  3. Step 3: Cross multiply
    27,907.68x = 38,512.32 × 15,332.16
  4. Step 4: Simplify right side
    27,907.68x = 590,477,052.21
  5. Step 5: Solve for x
    x = 590,477,052.21/27,907.68
  6. Step 6: Final answer
    x = 21,158.23

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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.