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Finding the Fourth Proportional to 24,233.44, 36,347.46 and 6,701

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Solution

The fourth proportional to 24,233.44, 36,347.46 and 6,701 is: 10,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.44 : 36,347.46 = 6,701 : x
  2. Step 2: Convert to fraction form
    24,233.44/36,347.46 = 6,701/x
  3. Step 3: Cross multiply
    24,233.44x = 36,347.46 × 6,701
  4. Step 4: Simplify right side
    24,233.44x = 243,564,329.46
  5. Step 5: Solve for x
    x = 243,564,329.46/24,233.44
  6. Step 6: Final answer
    x = 10,050.75

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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.