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Finding the Fourth Proportional to 15,502.90, 23,265.15 and 9,969.70

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Solution

The fourth proportional to 15,502.90, 23,265.15 and 9,969.70 is: 14,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.90 : 23,265.15 = 9,969.70 : x
  2. Step 2: Convert to fraction form
    15,502.90/23,265.15 = 9,969.70/x
  3. Step 3: Cross multiply
    15,502.90x = 23,265.15 × 9,969.70
  4. Step 4: Simplify right side
    15,502.90x = 231,946,565.96
  5. Step 5: Solve for x
    x = 231,946,565.96/15,502.90
  6. Step 6: Final answer
    x = 14,961.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.