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Finding the Fourth Proportional to 15,854.01, 23,781.02 and 4,166.25

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Solution

The fourth proportional to 15,854.01, 23,781.02 and 4,166.25 is: 6,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.01 : 23,781.02 = 4,166.25 : x
  2. Step 2: Convert to fraction form
    15,854.01/23,781.02 = 4,166.25/x
  3. Step 3: Cross multiply
    15,854.01x = 23,781.02 × 4,166.25
  4. Step 4: Simplify right side
    15,854.01x = 99,077,653.74
  5. Step 5: Solve for x
    x = 99,077,653.74/15,854.01
  6. Step 6: Final answer
    x = 6,249.38

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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.