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Finding the Fourth Proportional to 21,506.28, 32,265.24 and 9,019.72

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Solution

The fourth proportional to 21,506.28, 32,265.24 and 9,019.72 is: 13,532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.28 : 32,265.24 = 9,019.72 : x
  2. Step 2: Convert to fraction form
    21,506.28/32,265.24 = 9,019.72/x
  3. Step 3: Cross multiply
    21,506.28x = 32,265.24 × 9,019.72
  4. Step 4: Simplify right side
    21,506.28x = 291,023,430.53
  5. Step 5: Solve for x
    x = 291,023,430.53/21,506.28
  6. Step 6: Final answer
    x = 13,532.02

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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.