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Finding the Fourth Proportional to 15,343.81, 22,972.87 and 8,298.59

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Solution

The fourth proportional to 15,343.81, 22,972.87 and 8,298.59 is: 12,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.81 : 22,972.87 = 8,298.59 : x
  2. Step 2: Convert to fraction form
    15,343.81/22,972.87 = 8,298.59/x
  3. Step 3: Cross multiply
    15,343.81x = 22,972.87 × 8,298.59
  4. Step 4: Simplify right side
    15,343.81x = 190,642,278.08
  5. Step 5: Solve for x
    x = 190,642,278.08/15,343.81
  6. Step 6: Final answer
    x = 12,424.70

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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.