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Finding the Fourth Proportional to 13,402.42, 20,089.43 and 4,509.28

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Solution

The fourth proportional to 13,402.42, 20,089.43 and 4,509.28 is: 6,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.42 : 20,089.43 = 4,509.28 : x
  2. Step 2: Convert to fraction form
    13,402.42/20,089.43 = 4,509.28/x
  3. Step 3: Cross multiply
    13,402.42x = 20,089.43 × 4,509.28
  4. Step 4: Simplify right side
    13,402.42x = 90,588,792.14
  5. Step 5: Solve for x
    x = 90,588,792.14/13,402.42
  6. Step 6: Final answer
    x = 6,759.14

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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.