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Finding the Fourth Proportional to 17,746.96, 24,489.91 and 9,788.71

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Solution

The fourth proportional to 17,746.96, 24,489.91 and 9,788.71 is: 13,507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.96 : 24,489.91 = 9,788.71 : x
  2. Step 2: Convert to fraction form
    17,746.96/24,489.91 = 9,788.71/x
  3. Step 3: Cross multiply
    17,746.96x = 24,489.91 × 9,788.71
  4. Step 4: Simplify right side
    17,746.96x = 239,724,626.92
  5. Step 5: Solve for x
    x = 239,724,626.92/17,746.96
  6. Step 6: Final answer
    x = 13,507.93

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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.