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Finding the Fourth Proportional to 27,615.04, 38,106.94 and 16,284

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Solution

The fourth proportional to 27,615.04, 38,106.94 and 16,284 is: 22,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615.04 : 38,106.94 = 16,284 : x
  2. Step 2: Convert to fraction form
    27,615.04/38,106.94 = 16,284/x
  3. Step 3: Cross multiply
    27,615.04x = 38,106.94 × 16,284
  4. Step 4: Simplify right side
    27,615.04x = 620,533,410.96
  5. Step 5: Solve for x
    x = 620,533,410.96/27,615.04
  6. Step 6: Final answer
    x = 22,470.85

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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.