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Finding the Fourth Proportional to 23,221.44, 32,045.52 and 13,148.91

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Solution

The fourth proportional to 23,221.44, 32,045.52 and 13,148.91 is: 18,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.44 : 32,045.52 = 13,148.91 : x
  2. Step 2: Convert to fraction form
    23,221.44/32,045.52 = 13,148.91/x
  3. Step 3: Cross multiply
    23,221.44x = 32,045.52 × 13,148.91
  4. Step 4: Simplify right side
    23,221.44x = 421,363,658.38
  5. Step 5: Solve for x
    x = 421,363,658.38/23,221.44
  6. Step 6: Final answer
    x = 18,145.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.