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Finding the Fourth Proportional to 15,416.65, 23,126.49 and 6,408.90

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Solution

The fourth proportional to 15,416.65, 23,126.49 and 6,408.90 is: 9,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.65 : 23,126.49 = 6,408.90 : x
  2. Step 2: Convert to fraction form
    15,416.65/23,126.49 = 6,408.90/x
  3. Step 3: Cross multiply
    15,416.65x = 23,126.49 × 6,408.90
  4. Step 4: Simplify right side
    15,416.65x = 148,215,417.16
  5. Step 5: Solve for x
    x = 148,215,417.16/15,416.65
  6. Step 6: Final answer
    x = 9,613.99

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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.