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Finding the Fourth Proportional to 16,114.64, 24,177.08 and 10,228.19

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Solution

The fourth proportional to 16,114.64, 24,177.08 and 10,228.19 is: 15,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.64 : 24,177.08 = 10,228.19 : x
  2. Step 2: Convert to fraction form
    16,114.64/24,177.08 = 10,228.19/x
  3. Step 3: Cross multiply
    16,114.64x = 24,177.08 × 10,228.19
  4. Step 4: Simplify right side
    16,114.64x = 247,287,595.86
  5. Step 5: Solve for x
    x = 247,287,595.86/16,114.64
  6. Step 6: Final answer
    x = 15,345.53

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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.