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Finding the Fourth Proportional to 24,762.16, 34,168.38 and 14,008.49

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Solution

The fourth proportional to 24,762.16, 34,168.38 and 14,008.49 is: 19,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.16 : 34,168.38 = 14,008.49 : x
  2. Step 2: Convert to fraction form
    24,762.16/34,168.38 = 14,008.49/x
  3. Step 3: Cross multiply
    24,762.16x = 34,168.38 × 14,008.49
  4. Step 4: Simplify right side
    24,762.16x = 478,647,585.30
  5. Step 5: Solve for x
    x = 478,647,585.30/24,762.16
  6. Step 6: Final answer
    x = 19,329.80

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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.