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Finding the Fourth Proportional to 15,478.05, 23,213.99 and 7,577.17

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Solution

The fourth proportional to 15,478.05, 23,213.99 and 7,577.17 is: 11,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.05 : 23,213.99 = 7,577.17 : x
  2. Step 2: Convert to fraction form
    15,478.05/23,213.99 = 7,577.17/x
  3. Step 3: Cross multiply
    15,478.05x = 23,213.99 × 7,577.17
  4. Step 4: Simplify right side
    15,478.05x = 175,896,348.61
  5. Step 5: Solve for x
    x = 175,896,348.61/15,478.05
  6. Step 6: Final answer
    x = 11,364.24

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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.