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Finding the Fourth Proportional to 17,787.32, 24,546.96 and 9,829.64

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Solution

The fourth proportional to 17,787.32, 24,546.96 and 9,829.64 is: 13,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.32 : 24,546.96 = 9,829.64 : x
  2. Step 2: Convert to fraction form
    17,787.32/24,546.96 = 9,829.64/x
  3. Step 3: Cross multiply
    17,787.32x = 24,546.96 × 9,829.64
  4. Step 4: Simplify right side
    17,787.32x = 241,287,779.89
  5. Step 5: Solve for x
    x = 241,287,779.89/17,787.32
  6. Step 6: Final answer
    x = 13,565.16

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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.