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Finding the Fourth Proportional to 22,281.38, 30,748.30 and 12,849.94

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Solution

The fourth proportional to 22,281.38, 30,748.30 and 12,849.94 is: 17,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.38 : 30,748.30 = 12,849.94 : x
  2. Step 2: Convert to fraction form
    22,281.38/30,748.30 = 12,849.94/x
  3. Step 3: Cross multiply
    22,281.38x = 30,748.30 × 12,849.94
  4. Step 4: Simplify right side
    22,281.38x = 395,113,701.11
  5. Step 5: Solve for x
    x = 395,113,701.11/22,281.38
  6. Step 6: Final answer
    x = 17,732.91

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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.