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Finding the Fourth Proportional to 23,221.48, 32,045.52 and 12,611.20

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Solution

The fourth proportional to 23,221.48, 32,045.52 and 12,611.20 is: 17,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.48 : 32,045.52 = 12,611.20 : x
  2. Step 2: Convert to fraction form
    23,221.48/32,045.52 = 12,611.20/x
  3. Step 3: Cross multiply
    23,221.48x = 32,045.52 × 12,611.20
  4. Step 4: Simplify right side
    23,221.48x = 404,132,461.82
  5. Step 5: Solve for x
    x = 404,132,461.82/23,221.48
  6. Step 6: Final answer
    x = 17,403.39

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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.