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Finding the Fourth Proportional to 17,743.46, 24,484.84 and 9,785.74

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Solution

The fourth proportional to 17,743.46, 24,484.84 and 9,785.74 is: 13,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743.46 : 24,484.84 = 9,785.74 : x
  2. Step 2: Convert to fraction form
    17,743.46/24,484.84 = 9,785.74/x
  3. Step 3: Cross multiply
    17,743.46x = 24,484.84 × 9,785.74
  4. Step 4: Simplify right side
    17,743.46x = 239,602,278.18
  5. Step 5: Solve for x
    x = 239,602,278.18/17,743.46
  6. Step 6: Final answer
    x = 13,503.70

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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.