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Finding the Fourth Proportional to 24,698.52, 37,047.80 and 8,282.52

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Solution

The fourth proportional to 24,698.52, 37,047.80 and 8,282.52 is: 12,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.52 : 37,047.80 = 8,282.52 : x
  2. Step 2: Convert to fraction form
    24,698.52/37,047.80 = 8,282.52/x
  3. Step 3: Cross multiply
    24,698.52x = 37,047.80 × 8,282.52
  4. Step 4: Simplify right side
    24,698.52x = 306,849,144.46
  5. Step 5: Solve for x
    x = 306,849,144.46/24,698.52
  6. Step 6: Final answer
    x = 12,423.79

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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.