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Finding the Fourth Proportional to 23,154.26, 34,737.87 and 9,312.98

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Solution

The fourth proportional to 23,154.26, 34,737.87 and 9,312.98 is: 13,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.26 : 34,737.87 = 9,312.98 : x
  2. Step 2: Convert to fraction form
    23,154.26/34,737.87 = 9,312.98/x
  3. Step 3: Cross multiply
    23,154.26x = 34,737.87 × 9,312.98
  4. Step 4: Simplify right side
    23,154.26x = 323,513,088.55
  5. Step 5: Solve for x
    x = 323,513,088.55/23,154.26
  6. Step 6: Final answer
    x = 13,972.08

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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.