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Finding the Fourth Proportional to 15,478.38, 21,347.01 and 10,441.80

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Solution

The fourth proportional to 15,478.38, 21,347.01 and 10,441.80 is: 14,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.38 : 21,347.01 = 10,441.80 : x
  2. Step 2: Convert to fraction form
    15,478.38/21,347.01 = 10,441.80/x
  3. Step 3: Cross multiply
    15,478.38x = 21,347.01 × 10,441.80
  4. Step 4: Simplify right side
    15,478.38x = 222,901,209.02
  5. Step 5: Solve for x
    x = 222,901,209.02/15,478.38
  6. Step 6: Final answer
    x = 14,400.81

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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.