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Finding the Fourth Proportional to 24,674.42, 37,011.28 and 5,954.30

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Solution

The fourth proportional to 24,674.42, 37,011.28 and 5,954.30 is: 8,931.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.42 : 37,011.28 = 5,954.30 : x
  2. Step 2: Convert to fraction form
    24,674.42/37,011.28 = 5,954.30/x
  3. Step 3: Cross multiply
    24,674.42x = 37,011.28 × 5,954.30
  4. Step 4: Simplify right side
    24,674.42x = 220,376,264.50
  5. Step 5: Solve for x
    x = 220,376,264.50/24,674.42
  6. Step 6: Final answer
    x = 8,931.37

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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.