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Finding the Fourth Proportional to 22,691.34, 31,311.65 and 12,618.16

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Solution

The fourth proportional to 22,691.34, 31,311.65 and 12,618.16 is: 17,411.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.34 : 31,311.65 = 12,618.16 : x
  2. Step 2: Convert to fraction form
    22,691.34/31,311.65 = 12,618.16/x
  3. Step 3: Cross multiply
    22,691.34x = 31,311.65 × 12,618.16
  4. Step 4: Simplify right side
    22,691.34x = 395,095,362.83
  5. Step 5: Solve for x
    x = 395,095,362.83/22,691.34
  6. Step 6: Final answer
    x = 17,411.72

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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.