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Finding the Fourth Proportional to 16,041.68, 24,065.12 and 4,945.78

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Solution

The fourth proportional to 16,041.68, 24,065.12 and 4,945.78 is: 7,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,041.68 : 24,065.12 = 4,945.78 : x
  2. Step 2: Convert to fraction form
    16,041.68/24,065.12 = 4,945.78/x
  3. Step 3: Cross multiply
    16,041.68x = 24,065.12 × 4,945.78
  4. Step 4: Simplify right side
    16,041.68x = 119,020,789.19
  5. Step 5: Solve for x
    x = 119,020,789.19/16,041.68
  6. Step 6: Final answer
    x = 7,419.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.