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Finding the Fourth Proportional to 24,697.38, 34,077.12 and 14,628.98

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Solution

The fourth proportional to 24,697.38, 34,077.12 and 14,628.98 is: 20,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.38 : 34,077.12 = 14,628.98 : x
  2. Step 2: Convert to fraction form
    24,697.38/34,077.12 = 14,628.98/x
  3. Step 3: Cross multiply
    24,697.38x = 34,077.12 × 14,628.98
  4. Step 4: Simplify right side
    24,697.38x = 498,513,506.94
  5. Step 5: Solve for x
    x = 498,513,506.94/24,697.38
  6. Step 6: Final answer
    x = 20,184.87

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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.