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Finding the Fourth Proportional to 14,874.48, 22,288 and 7,854.24

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Solution

The fourth proportional to 14,874.48, 22,288 and 7,854.24 is: 11,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.48 : 22,288 = 7,854.24 : x
  2. Step 2: Convert to fraction form
    14,874.48/22,288 = 7,854.24/x
  3. Step 3: Cross multiply
    14,874.48x = 22,288 × 7,854.24
  4. Step 4: Simplify right side
    14,874.48x = 175,055,301.12
  5. Step 5: Solve for x
    x = 175,055,301.12/14,874.48
  6. Step 6: Final answer
    x = 11,768.84

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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.