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Finding the Fourth Proportional to 17,787.32, 24,546.70 and 9,829.40

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Solution

The fourth proportional to 17,787.32, 24,546.70 and 9,829.40 is: 13,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.32 : 24,546.70 = 9,829.40 : x
  2. Step 2: Convert to fraction form
    17,787.32/24,546.70 = 9,829.40/x
  3. Step 3: Cross multiply
    17,787.32x = 24,546.70 × 9,829.40
  4. Step 4: Simplify right side
    17,787.32x = 241,279,332.98
  5. Step 5: Solve for x
    x = 241,279,332.98/17,787.32
  6. Step 6: Final answer
    x = 13,564.68

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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.