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Finding the Fourth Proportional to 17,785.59, 24,542.89 and 9,827.74

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Solution

The fourth proportional to 17,785.59, 24,542.89 and 9,827.74 is: 13,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.59 : 24,542.89 = 9,827.74 : x
  2. Step 2: Convert to fraction form
    17,785.59/24,542.89 = 9,827.74/x
  3. Step 3: Cross multiply
    17,785.59x = 24,542.89 × 9,827.74
  4. Step 4: Simplify right side
    17,785.59x = 241,201,141.77
  5. Step 5: Solve for x
    x = 241,201,141.77/17,785.59
  6. Step 6: Final answer
    x = 13,561.60

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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.