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Finding the Fourth Proportional to 17,715.40, 26,575.54 and 7,854.46

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Solution

The fourth proportional to 17,715.40, 26,575.54 and 7,854.46 is: 11,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.40 : 26,575.54 = 7,854.46 : x
  2. Step 2: Convert to fraction form
    17,715.40/26,575.54 = 7,854.46/x
  3. Step 3: Cross multiply
    17,715.40x = 26,575.54 × 7,854.46
  4. Step 4: Simplify right side
    17,715.40x = 208,736,601.98
  5. Step 5: Solve for x
    x = 208,736,601.98/17,715.40
  6. Step 6: Final answer
    x = 11,782.78

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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.