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Finding the Fourth Proportional to 23,634.71, 32,613.95 and 13,023.98

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Solution

The fourth proportional to 23,634.71, 32,613.95 and 13,023.98 is: 17,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.71 : 32,613.95 = 13,023.98 : x
  2. Step 2: Convert to fraction form
    23,634.71/32,613.95 = 13,023.98/x
  3. Step 3: Cross multiply
    23,634.71x = 32,613.95 × 13,023.98
  4. Step 4: Simplify right side
    23,634.71x = 424,763,367.40
  5. Step 5: Solve for x
    x = 424,763,367.40/23,634.71
  6. Step 6: Final answer
    x = 17,972.02

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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.