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Finding the Fourth Proportional to 15,270.96, 21,077.01 and 10,438.61

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Solution

The fourth proportional to 15,270.96, 21,077.01 and 10,438.61 is: 14,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,270.96 : 21,077.01 = 10,438.61 : x
  2. Step 2: Convert to fraction form
    15,270.96/21,077.01 = 10,438.61/x
  3. Step 3: Cross multiply
    15,270.96x = 21,077.01 × 10,438.61
  4. Step 4: Simplify right side
    15,270.96x = 220,014,581.97
  5. Step 5: Solve for x
    x = 220,014,581.97/15,270.96
  6. Step 6: Final answer
    x = 14,407.38

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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.