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Finding the Fourth Proportional to 22,307.64, 30,787.12 and 13,355.14

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Solution

The fourth proportional to 22,307.64, 30,787.12 and 13,355.14 is: 18,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.64 : 30,787.12 = 13,355.14 : x
  2. Step 2: Convert to fraction form
    22,307.64/30,787.12 = 13,355.14/x
  3. Step 3: Cross multiply
    22,307.64x = 30,787.12 × 13,355.14
  4. Step 4: Simplify right side
    22,307.64x = 411,166,352.97
  5. Step 5: Solve for x
    x = 411,166,352.97/22,307.64
  6. Step 6: Final answer
    x = 18,431.64

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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.