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Finding the Fourth Proportional to 21,659.40, 32,470.11 and 10,409.13

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Solution

The fourth proportional to 21,659.40, 32,470.11 and 10,409.13 is: 15,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,659.40 : 32,470.11 = 10,409.13 : x
  2. Step 2: Convert to fraction form
    21,659.40/32,470.11 = 10,409.13/x
  3. Step 3: Cross multiply
    21,659.40x = 32,470.11 × 10,409.13
  4. Step 4: Simplify right side
    21,659.40x = 337,985,596.10
  5. Step 5: Solve for x
    x = 337,985,596.10/21,659.40
  6. Step 6: Final answer
    x = 15,604.57

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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.