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Finding the Fourth Proportional to 14,408.90, 21,608.16 and 6,089.56

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Solution

The fourth proportional to 14,408.90, 21,608.16 and 6,089.56 is: 9,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.90 : 21,608.16 = 6,089.56 : x
  2. Step 2: Convert to fraction form
    14,408.90/21,608.16 = 6,089.56/x
  3. Step 3: Cross multiply
    14,408.90x = 21,608.16 × 6,089.56
  4. Step 4: Simplify right side
    14,408.90x = 131,584,210.38
  5. Step 5: Solve for x
    x = 131,584,210.38/14,408.90
  6. Step 6: Final answer
    x = 9,132.15

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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.