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Finding the Fourth Proportional to 15,865.35, 23,797.35 and 6,502.29

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Solution

The fourth proportional to 15,865.35, 23,797.35 and 6,502.29 is: 9,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.35 : 23,797.35 = 6,502.29 : x
  2. Step 2: Convert to fraction form
    15,865.35/23,797.35 = 6,502.29/x
  3. Step 3: Cross multiply
    15,865.35x = 23,797.35 × 6,502.29
  4. Step 4: Simplify right side
    15,865.35x = 154,737,270.93
  5. Step 5: Solve for x
    x = 154,737,270.93/15,865.35
  6. Step 6: Final answer
    x = 9,753.16

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