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Finding the Fourth Proportional to 21,340.38, 32,009.65 and 7,301.67

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Solution

The fourth proportional to 21,340.38, 32,009.65 and 7,301.67 is: 10,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340.38 : 32,009.65 = 7,301.67 : x
  2. Step 2: Convert to fraction form
    21,340.38/32,009.65 = 7,301.67/x
  3. Step 3: Cross multiply
    21,340.38x = 32,009.65 × 7,301.67
  4. Step 4: Simplify right side
    21,340.38x = 233,723,901.12
  5. Step 5: Solve for x
    x = 233,723,901.12/21,340.38
  6. Step 6: Final answer
    x = 10,952.19

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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.