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Finding the Fourth Proportional to 13,430.90, 20,154.24 and 7,521.14

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Solution

The fourth proportional to 13,430.90, 20,154.24 and 7,521.14 is: 11,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.90 : 20,154.24 = 7,521.14 : x
  2. Step 2: Convert to fraction form
    13,430.90/20,154.24 = 7,521.14/x
  3. Step 3: Cross multiply
    13,430.90x = 20,154.24 × 7,521.14
  4. Step 4: Simplify right side
    13,430.90x = 151,582,759.86
  5. Step 5: Solve for x
    x = 151,582,759.86/13,430.90
  6. Step 6: Final answer
    x = 11,286.13

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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.