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Finding the Fourth Proportional to 10,105.80, 15,158.70 and 9,012.30

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Solution

The fourth proportional to 10,105.80, 15,158.70 and 9,012.30 is: 13,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.80 : 15,158.70 = 9,012.30 : x
  2. Step 2: Convert to fraction form
    10,105.80/15,158.70 = 9,012.30/x
  3. Step 3: Cross multiply
    10,105.80x = 15,158.70 × 9,012.30
  4. Step 4: Simplify right side
    10,105.80x = 136,614,752.01
  5. Step 5: Solve for x
    x = 136,614,752.01/10,105.80
  6. Step 6: Final answer
    x = 13,518.45

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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.