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Finding the Fourth Proportional to 17,746.96, 24,491 and 9,789.48

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Solution

The fourth proportional to 17,746.96, 24,491 and 9,789.48 is: 13,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.96 : 24,491 = 9,789.48 : x
  2. Step 2: Convert to fraction form
    17,746.96/24,491 = 9,789.48/x
  3. Step 3: Cross multiply
    17,746.96x = 24,491 × 9,789.48
  4. Step 4: Simplify right side
    17,746.96x = 239,754,154.68
  5. Step 5: Solve for x
    x = 239,754,154.68/17,746.96
  6. Step 6: Final answer
    x = 13,509.59

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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.