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Finding the Fourth Proportional to 23,403, 32,296.14 and 13,472.76

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Solution

The fourth proportional to 23,403, 32,296.14 and 13,472.76 is: 18,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,403 : 32,296.14 = 13,472.76 : x
  2. Step 2: Convert to fraction form
    23,403/32,296.14 = 13,472.76/x
  3. Step 3: Cross multiply
    23,403x = 32,296.14 × 13,472.76
  4. Step 4: Simplify right side
    23,403x = 435,118,143.15
  5. Step 5: Solve for x
    x = 435,118,143.15/23,403
  6. Step 6: Final answer
    x = 18,592.41

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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.