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Finding the Fourth Proportional to 16,526.04, 22,806 and 9,452.52

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Solution

The fourth proportional to 16,526.04, 22,806 and 9,452.52 is: 13,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.04 : 22,806 = 9,452.52 : x
  2. Step 2: Convert to fraction form
    16,526.04/22,806 = 9,452.52/x
  3. Step 3: Cross multiply
    16,526.04x = 22,806 × 9,452.52
  4. Step 4: Simplify right side
    16,526.04x = 215,574,171.12
  5. Step 5: Solve for x
    x = 215,574,171.12/16,526.04
  6. Step 6: Final answer
    x = 13,044.51

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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.