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Finding the Fourth Proportional to 24,641.42, 36,967.94 and 8,000.17

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Solution

The fourth proportional to 24,641.42, 36,967.94 and 8,000.17 is: 12,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.42 : 36,967.94 = 8,000.17 : x
  2. Step 2: Convert to fraction form
    24,641.42/36,967.94 = 8,000.17/x
  3. Step 3: Cross multiply
    24,641.42x = 36,967.94 × 8,000.17
  4. Step 4: Simplify right side
    24,641.42x = 295,749,804.55
  5. Step 5: Solve for x
    x = 295,749,804.55/24,641.42
  6. Step 6: Final answer
    x = 12,002.14

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1.5x scale

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.