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Finding the Fourth Proportional to 21,331.59, 32,002.38 and 7,291.74

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Solution

The fourth proportional to 21,331.59, 32,002.38 and 7,291.74 is: 10,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331.59 : 32,002.38 = 7,291.74 : x
  2. Step 2: Convert to fraction form
    21,331.59/32,002.38 = 7,291.74/x
  3. Step 3: Cross multiply
    21,331.59x = 32,002.38 × 7,291.74
  4. Step 4: Simplify right side
    21,331.59x = 233,353,034.34
  5. Step 5: Solve for x
    x = 233,353,034.34/21,331.59
  6. Step 6: Final answer
    x = 10,939.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.