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Finding the Fourth Proportional to 12,101.10, 18,151.65 and 10,278.60

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Solution

The fourth proportional to 12,101.10, 18,151.65 and 10,278.60 is: 15,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.10 : 18,151.65 = 10,278.60 : x
  2. Step 2: Convert to fraction form
    12,101.10/18,151.65 = 10,278.60/x
  3. Step 3: Cross multiply
    12,101.10x = 18,151.65 × 10,278.60
  4. Step 4: Simplify right side
    12,101.10x = 186,573,549.69
  5. Step 5: Solve for x
    x = 186,573,549.69/12,101.10
  6. Step 6: Final answer
    x = 15,417.90

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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.