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Finding the Fourth Proportional to 14,717.52, 22,032.54 and 9,770.04

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Solution

The fourth proportional to 14,717.52, 22,032.54 and 9,770.04 is: 14,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.52 : 22,032.54 = 9,770.04 : x
  2. Step 2: Convert to fraction form
    14,717.52/22,032.54 = 9,770.04/x
  3. Step 3: Cross multiply
    14,717.52x = 22,032.54 × 9,770.04
  4. Step 4: Simplify right side
    14,717.52x = 215,258,797.10
  5. Step 5: Solve for x
    x = 215,258,797.10/14,717.52
  6. Step 6: Final answer
    x = 14,626.02

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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.