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Finding the Fourth Proportional to 23,663.76, 32,656.08 and 13,053.24

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Solution

The fourth proportional to 23,663.76, 32,656.08 and 13,053.24 is: 18,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.76 : 32,656.08 = 13,053.24 : x
  2. Step 2: Convert to fraction form
    23,663.76/32,656.08 = 13,053.24/x
  3. Step 3: Cross multiply
    23,663.76x = 32,656.08 × 13,053.24
  4. Step 4: Simplify right side
    23,663.76x = 426,267,649.70
  5. Step 5: Solve for x
    x = 426,267,649.70/23,663.76
  6. Step 6: Final answer
    x = 18,013.52

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