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Finding the Fourth Proportional to 19,702.17, 29,569.05 and 9,177.03

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Solution

The fourth proportional to 19,702.17, 29,569.05 and 9,177.03 is: 13,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.17 : 29,569.05 = 9,177.03 : x
  2. Step 2: Convert to fraction form
    19,702.17/29,569.05 = 9,177.03/x
  3. Step 3: Cross multiply
    19,702.17x = 29,569.05 × 9,177.03
  4. Step 4: Simplify right side
    19,702.17x = 271,356,058.92
  5. Step 5: Solve for x
    x = 271,356,058.92/19,702.17
  6. Step 6: Final answer
    x = 13,772.90

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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.