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Finding the Fourth Proportional to 24,047, 36,071.04 and 8,251.98

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Solution

The fourth proportional to 24,047, 36,071.04 and 8,251.98 is: 12,378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047 : 36,071.04 = 8,251.98 : x
  2. Step 2: Convert to fraction form
    24,047/36,071.04 = 8,251.98/x
  3. Step 3: Cross multiply
    24,047x = 36,071.04 × 8,251.98
  4. Step 4: Simplify right side
    24,047x = 297,657,500.66
  5. Step 5: Solve for x
    x = 297,657,500.66/24,047
  6. Step 6: Final answer
    x = 12,378.16

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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.