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Finding the Fourth Proportional to 17,787.75, 24,547.08 and 9,829.90

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Solution

The fourth proportional to 17,787.75, 24,547.08 and 9,829.90 is: 13,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.75 : 24,547.08 = 9,829.90 : x
  2. Step 2: Convert to fraction form
    17,787.75/24,547.08 = 9,829.90/x
  3. Step 3: Cross multiply
    17,787.75x = 24,547.08 × 9,829.90
  4. Step 4: Simplify right side
    17,787.75x = 241,295,341.69
  5. Step 5: Solve for x
    x = 241,295,341.69/17,787.75
  6. Step 6: Final answer
    x = 13,565.25

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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.