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Finding the Fourth Proportional to 16,471, 24,706.80 and 4,785.40

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Solution

The fourth proportional to 16,471, 24,706.80 and 4,785.40 is: 7,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471 : 24,706.80 = 4,785.40 : x
  2. Step 2: Convert to fraction form
    16,471/24,706.80 = 4,785.40/x
  3. Step 3: Cross multiply
    16,471x = 24,706.80 × 4,785.40
  4. Step 4: Simplify right side
    16,471x = 118,231,920.72
  5. Step 5: Solve for x
    x = 118,231,920.72/16,471
  6. Step 6: Final answer
    x = 7,178.19

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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.