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Finding the Fourth Proportional to 15,513.50, 21,411.06 and 9,229.52

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Solution

The fourth proportional to 15,513.50, 21,411.06 and 9,229.52 is: 12,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.50 : 21,411.06 = 9,229.52 : x
  2. Step 2: Convert to fraction form
    15,513.50/21,411.06 = 9,229.52/x
  3. Step 3: Cross multiply
    15,513.50x = 21,411.06 × 9,229.52
  4. Step 4: Simplify right side
    15,513.50x = 197,613,806.49
  5. Step 5: Solve for x
    x = 197,613,806.49/15,513.50
  6. Step 6: Final answer
    x = 12,738.18

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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.