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Finding the Fourth Proportional to 15,113.80, 22,647.60 and 10,165.12

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Solution

The fourth proportional to 15,113.80, 22,647.60 and 10,165.12 is: 15,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113.80 : 22,647.60 = 10,165.12 : x
  2. Step 2: Convert to fraction form
    15,113.80/22,647.60 = 10,165.12/x
  3. Step 3: Cross multiply
    15,113.80x = 22,647.60 × 10,165.12
  4. Step 4: Simplify right side
    15,113.80x = 230,215,571.71
  5. Step 5: Solve for x
    x = 230,215,571.71/15,113.80
  6. Step 6: Final answer
    x = 15,232.14

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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.