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Finding the Fourth Proportional to 12,920.60, 19,381.44 and 7,715

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Solution

The fourth proportional to 12,920.60, 19,381.44 and 7,715 is: 11,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.60 : 19,381.44 = 7,715 : x
  2. Step 2: Convert to fraction form
    12,920.60/19,381.44 = 7,715/x
  3. Step 3: Cross multiply
    12,920.60x = 19,381.44 × 7,715
  4. Step 4: Simplify right side
    12,920.60x = 149,527,809.60
  5. Step 5: Solve for x
    x = 149,527,809.60/12,920.60
  6. Step 6: Final answer
    x = 11,572.82

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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.