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Finding the Fourth Proportional to 14,938.76, 22,421.97 and 7,548.41

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Solution

The fourth proportional to 14,938.76, 22,421.97 and 7,548.41 is: 11,329.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.76 : 22,421.97 = 7,548.41 : x
  2. Step 2: Convert to fraction form
    14,938.76/22,421.97 = 7,548.41/x
  3. Step 3: Cross multiply
    14,938.76x = 22,421.97 × 7,548.41
  4. Step 4: Simplify right side
    14,938.76x = 169,250,278.62
  5. Step 5: Solve for x
    x = 169,250,278.62/14,938.76
  6. Step 6: Final answer
    x = 11,329.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.