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Finding the Fourth Proportional to 20,497.65, 28,287.81 and 12,537.39

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Solution

The fourth proportional to 20,497.65, 28,287.81 and 12,537.39 is: 17,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.65 : 28,287.81 = 12,537.39 : x
  2. Step 2: Convert to fraction form
    20,497.65/28,287.81 = 12,537.39/x
  3. Step 3: Cross multiply
    20,497.65x = 28,287.81 × 12,537.39
  4. Step 4: Simplify right side
    20,497.65x = 354,655,306.22
  5. Step 5: Solve for x
    x = 354,655,306.22/20,497.65
  6. Step 6: Final answer
    x = 17,302.24

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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.