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Finding the Fourth Proportional to 21,503.40, 32,259.18 and 7,462.86

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Solution

The fourth proportional to 21,503.40, 32,259.18 and 7,462.86 is: 11,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.40 : 32,259.18 = 7,462.86 : x
  2. Step 2: Convert to fraction form
    21,503.40/32,259.18 = 7,462.86/x
  3. Step 3: Cross multiply
    21,503.40x = 32,259.18 × 7,462.86
  4. Step 4: Simplify right side
    21,503.40x = 240,745,744.05
  5. Step 5: Solve for x
    x = 240,745,744.05/21,503.40
  6. Step 6: Final answer
    x = 11,195.71

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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.