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Finding the Fourth Proportional to 24,523.47, 33,852.55 and 16,576.46

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Solution

The fourth proportional to 24,523.47, 33,852.55 and 16,576.46 is: 22,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.47 : 33,852.55 = 16,576.46 : x
  2. Step 2: Convert to fraction form
    24,523.47/33,852.55 = 16,576.46/x
  3. Step 3: Cross multiply
    24,523.47x = 33,852.55 × 16,576.46
  4. Step 4: Simplify right side
    24,523.47x = 561,155,271.71
  5. Step 5: Solve for x
    x = 561,155,271.71/24,523.47
  6. Step 6: Final answer
    x = 22,882.38

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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.