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Finding the Fourth Proportional to 17,750.46, 24,494.50 and 9,792.74

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Solution

The fourth proportional to 17,750.46, 24,494.50 and 9,792.74 is: 13,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.46 : 24,494.50 = 9,792.74 : x
  2. Step 2: Convert to fraction form
    17,750.46/24,494.50 = 9,792.74/x
  3. Step 3: Cross multiply
    17,750.46x = 24,494.50 × 9,792.74
  4. Step 4: Simplify right side
    17,750.46x = 239,868,269.93
  5. Step 5: Solve for x
    x = 239,868,269.93/17,750.46
  6. Step 6: Final answer
    x = 13,513.36

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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.