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Finding the Fourth Proportional to 22,000.57, 30,361.08 and 12,569.14

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Solution

The fourth proportional to 22,000.57, 30,361.08 and 12,569.14 is: 17,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.57 : 30,361.08 = 12,569.14 : x
  2. Step 2: Convert to fraction form
    22,000.57/30,361.08 = 12,569.14/x
  3. Step 3: Cross multiply
    22,000.57x = 30,361.08 × 12,569.14
  4. Step 4: Simplify right side
    22,000.57x = 381,612,665.07
  5. Step 5: Solve for x
    x = 381,612,665.07/22,000.57
  6. Step 6: Final answer
    x = 17,345.58

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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.