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Finding the Fourth Proportional to 15,508.50, 21,402 and 8,435.04

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Solution

The fourth proportional to 15,508.50, 21,402 and 8,435.04 is: 11,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.50 : 21,402 = 8,435.04 : x
  2. Step 2: Convert to fraction form
    15,508.50/21,402 = 8,435.04/x
  3. Step 3: Cross multiply
    15,508.50x = 21,402 × 8,435.04
  4. Step 4: Simplify right side
    15,508.50x = 180,526,726.08
  5. Step 5: Solve for x
    x = 180,526,726.08/15,508.50
  6. Step 6: Final answer
    x = 11,640.50

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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.