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Finding the Fourth Proportional to 17,854.48, 24,638.47 and 9,787.96

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Solution

The fourth proportional to 17,854.48, 24,638.47 and 9,787.96 is: 13,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.48 : 24,638.47 = 9,787.96 : x
  2. Step 2: Convert to fraction form
    17,854.48/24,638.47 = 9,787.96/x
  3. Step 3: Cross multiply
    17,854.48x = 24,638.47 × 9,787.96
  4. Step 4: Simplify right side
    17,854.48x = 241,160,358.82
  5. Step 5: Solve for x
    x = 241,160,358.82/17,854.48
  6. Step 6: Final answer
    x = 13,506.99

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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.