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Finding the Fourth Proportional to 24,126, 36,191.16 and 7,710

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Solution

The fourth proportional to 24,126, 36,191.16 and 7,710 is: 11,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126 : 36,191.16 = 7,710 : x
  2. Step 2: Convert to fraction form
    24,126/36,191.16 = 7,710/x
  3. Step 3: Cross multiply
    24,126x = 36,191.16 × 7,710
  4. Step 4: Simplify right side
    24,126x = 279,033,843.60
  5. Step 5: Solve for x
    x = 279,033,843.60/24,126
  6. Step 6: Final answer
    x = 11,565.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.