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Finding the Fourth Proportional to 21,332.38, 32,002.31 and 7,289.11

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Solution

The fourth proportional to 21,332.38, 32,002.31 and 7,289.11 is: 10,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.38 : 32,002.31 = 7,289.11 : x
  2. Step 2: Convert to fraction form
    21,332.38/32,002.31 = 7,289.11/x
  3. Step 3: Cross multiply
    21,332.38x = 32,002.31 × 7,289.11
  4. Step 4: Simplify right side
    21,332.38x = 233,268,357.84
  5. Step 5: Solve for x
    x = 233,268,357.84/21,332.38
  6. Step 6: Final answer
    x = 10,934.94

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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.