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Finding the Fourth Proportional to 17,785.73, 24,564.12 and 13,800.74

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Solution

The fourth proportional to 17,785.73, 24,564.12 and 13,800.74 is: 19,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.73 : 24,564.12 = 13,800.74 : x
  2. Step 2: Convert to fraction form
    17,785.73/24,564.12 = 13,800.74/x
  3. Step 3: Cross multiply
    17,785.73x = 24,564.12 × 13,800.74
  4. Step 4: Simplify right side
    17,785.73x = 339,003,094.86
  5. Step 5: Solve for x
    x = 339,003,094.86/17,785.73
  6. Step 6: Final answer
    x = 19,060.40

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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.