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Finding the Fourth Proportional to 16,472.97, 24,711.86 and 4,784.67

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Solution

The fourth proportional to 16,472.97, 24,711.86 and 4,784.67 is: 7,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.97 : 24,711.86 = 4,784.67 : x
  2. Step 2: Convert to fraction form
    16,472.97/24,711.86 = 4,784.67/x
  3. Step 3: Cross multiply
    16,472.97x = 24,711.86 × 4,784.67
  4. Step 4: Simplify right side
    16,472.97x = 118,238,095.19
  5. Step 5: Solve for x
    x = 118,238,095.19/16,472.97
  6. Step 6: Final answer
    x = 7,177.70

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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.