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Finding the Fourth Proportional to 17,787.14, 24,547.84 and 9,829.30

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Solution

The fourth proportional to 17,787.14, 24,547.84 and 9,829.30 is: 13,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.14 : 24,547.84 = 9,829.30 : x
  2. Step 2: Convert to fraction form
    17,787.14/24,547.84 = 9,829.30/x
  3. Step 3: Cross multiply
    17,787.14x = 24,547.84 × 9,829.30
  4. Step 4: Simplify right side
    17,787.14x = 241,288,083.71
  5. Step 5: Solve for x
    x = 241,288,083.71/17,787.14
  6. Step 6: Final answer
    x = 13,565.31

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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.