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Finding the Fourth Proportional to 24,238.88, 36,359.04 and 6,710

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Solution

The fourth proportional to 24,238.88, 36,359.04 and 6,710 is: 10,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.88 : 36,359.04 = 6,710 : x
  2. Step 2: Convert to fraction form
    24,238.88/36,359.04 = 6,710/x
  3. Step 3: Cross multiply
    24,238.88x = 36,359.04 × 6,710
  4. Step 4: Simplify right side
    24,238.88x = 243,969,158.40
  5. Step 5: Solve for x
    x = 243,969,158.40/24,238.88
  6. Step 6: Final answer
    x = 10,065.20

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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.