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Finding the Fourth Proportional to 24,807.42, 34,234.85 and 14,200.47

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Solution

The fourth proportional to 24,807.42, 34,234.85 and 14,200.47 is: 19,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.42 : 34,234.85 = 14,200.47 : x
  2. Step 2: Convert to fraction form
    24,807.42/34,234.85 = 14,200.47/x
  3. Step 3: Cross multiply
    24,807.42x = 34,234.85 × 14,200.47
  4. Step 4: Simplify right side
    24,807.42x = 486,150,960.38
  5. Step 5: Solve for x
    x = 486,150,960.38/24,807.42
  6. Step 6: Final answer
    x = 19,597.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.