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Finding the Fourth Proportional to 15,496.57, 21,385.65 and 8,423.38

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Solution

The fourth proportional to 15,496.57, 21,385.65 and 8,423.38 is: 11,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.57 : 21,385.65 = 8,423.38 : x
  2. Step 2: Convert to fraction form
    15,496.57/21,385.65 = 8,423.38/x
  3. Step 3: Cross multiply
    15,496.57x = 21,385.65 × 8,423.38
  4. Step 4: Simplify right side
    15,496.57x = 180,139,456.50
  5. Step 5: Solve for x
    x = 180,139,456.50/15,496.57
  6. Step 6: Final answer
    x = 11,624.47

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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.