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Finding the Fourth Proportional to 24,812.88, 34,250.76 and 16,432.08

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Solution

The fourth proportional to 24,812.88, 34,250.76 and 16,432.08 is: 22,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.88 : 34,250.76 = 16,432.08 : x
  2. Step 2: Convert to fraction form
    24,812.88/34,250.76 = 16,432.08/x
  3. Step 3: Cross multiply
    24,812.88x = 34,250.76 × 16,432.08
  4. Step 4: Simplify right side
    24,812.88x = 562,811,228.38
  5. Step 5: Solve for x
    x = 562,811,228.38/24,812.88
  6. Step 6: Final answer
    x = 22,682.22

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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.