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Finding the Fourth Proportional to 24,597, 36,895.50 and 8,181

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Solution

The fourth proportional to 24,597, 36,895.50 and 8,181 is: 12,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597 : 36,895.50 = 8,181 : x
  2. Step 2: Convert to fraction form
    24,597/36,895.50 = 8,181/x
  3. Step 3: Cross multiply
    24,597x = 36,895.50 × 8,181
  4. Step 4: Simplify right side
    24,597x = 301,842,085.50
  5. Step 5: Solve for x
    x = 301,842,085.50/24,597
  6. Step 6: Final answer
    x = 12,271.50

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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.