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Finding the Fourth Proportional to 15,874.68, 23,813.01 and 4,187.91

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Solution

The fourth proportional to 15,874.68, 23,813.01 and 4,187.91 is: 6,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.68 : 23,813.01 = 4,187.91 : x
  2. Step 2: Convert to fraction form
    15,874.68/23,813.01 = 4,187.91/x
  3. Step 3: Cross multiply
    15,874.68x = 23,813.01 × 4,187.91
  4. Step 4: Simplify right side
    15,874.68x = 99,726,742.71
  5. Step 5: Solve for x
    x = 99,726,742.71/15,874.68
  6. Step 6: Final answer
    x = 6,282.13

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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.