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Finding the Fourth Proportional to 17,715.65, 26,575.92 and 7,854.71

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Solution

The fourth proportional to 17,715.65, 26,575.92 and 7,854.71 is: 11,783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.65 : 26,575.92 = 7,854.71 : x
  2. Step 2: Convert to fraction form
    17,715.65/26,575.92 = 7,854.71/x
  3. Step 3: Cross multiply
    17,715.65x = 26,575.92 × 7,854.71
  4. Step 4: Simplify right side
    17,715.65x = 208,746,191.39
  5. Step 5: Solve for x
    x = 208,746,191.39/17,715.65
  6. Step 6: Final answer
    x = 11,783.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.