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Finding the Fourth Proportional to 13,989.92, 19,306.07 and 7,702.29

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Solution

The fourth proportional to 13,989.92, 19,306.07 and 7,702.29 is: 10,629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.92 : 19,306.07 = 7,702.29 : x
  2. Step 2: Convert to fraction form
    13,989.92/19,306.07 = 7,702.29/x
  3. Step 3: Cross multiply
    13,989.92x = 19,306.07 × 7,702.29
  4. Step 4: Simplify right side
    13,989.92x = 148,700,961.94
  5. Step 5: Solve for x
    x = 148,700,961.94/13,989.92
  6. Step 6: Final answer
    x = 10,629.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.