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Finding the Fourth Proportional to 23,291.63, 32,131.70 and 13,724.98

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Solution

The fourth proportional to 23,291.63, 32,131.70 and 13,724.98 is: 18,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.63 : 32,131.70 = 13,724.98 : x
  2. Step 2: Convert to fraction form
    23,291.63/32,131.70 = 13,724.98/x
  3. Step 3: Cross multiply
    23,291.63x = 32,131.70 × 13,724.98
  4. Step 4: Simplify right side
    23,291.63x = 441,006,803.78
  5. Step 5: Solve for x
    x = 441,006,803.78/23,291.63
  6. Step 6: Final answer
    x = 18,934.14

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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.