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Finding the Fourth Proportional to 24,674, 37,017.40 and 8,036.88

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Solution

The fourth proportional to 24,674, 37,017.40 and 8,036.88 is: 12,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674 : 37,017.40 = 8,036.88 : x
  2. Step 2: Convert to fraction form
    24,674/37,017.40 = 8,036.88/x
  3. Step 3: Cross multiply
    24,674x = 37,017.40 × 8,036.88
  4. Step 4: Simplify right side
    24,674x = 297,504,401.71
  5. Step 5: Solve for x
    x = 297,504,401.71/24,674
  6. Step 6: Final answer
    x = 12,057.40

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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.