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Finding the Fourth Proportional to 15,642, 23,472.05 and 5,788.08

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Solution

The fourth proportional to 15,642, 23,472.05 and 5,788.08 is: 8,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642 : 23,472.05 = 5,788.08 : x
  2. Step 2: Convert to fraction form
    15,642/23,472.05 = 5,788.08/x
  3. Step 3: Cross multiply
    15,642x = 23,472.05 × 5,788.08
  4. Step 4: Simplify right side
    15,642x = 135,858,074.22
  5. Step 5: Solve for x
    x = 135,858,074.22/15,642
  6. Step 6: Final answer
    x = 8,685.47

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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.