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Finding the Fourth Proportional to 22,893.47, 34,312.47 and 9,718.17

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Solution

The fourth proportional to 22,893.47, 34,312.47 and 9,718.17 is: 14,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.47 : 34,312.47 = 9,718.17 : x
  2. Step 2: Convert to fraction form
    22,893.47/34,312.47 = 9,718.17/x
  3. Step 3: Cross multiply
    22,893.47x = 34,312.47 × 9,718.17
  4. Step 4: Simplify right side
    22,893.47x = 333,454,416.58
  5. Step 5: Solve for x
    x = 333,454,416.58/22,893.47
  6. Step 6: Final answer
    x = 14,565.48

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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.