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Finding the Fourth Proportional to 24,762.24, 34,182 and 18,463.68

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Solution

The fourth proportional to 24,762.24, 34,182 and 18,463.68 is: 25,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.24 : 34,182 = 18,463.68 : x
  2. Step 2: Convert to fraction form
    24,762.24/34,182 = 18,463.68/x
  3. Step 3: Cross multiply
    24,762.24x = 34,182 × 18,463.68
  4. Step 4: Simplify right side
    24,762.24x = 631,125,509.76
  5. Step 5: Solve for x
    x = 631,125,509.76/24,762.24
  6. Step 6: Final answer
    x = 25,487.42

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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.