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Finding the Fourth Proportional to 13,971.48, 20,960.48 and 6,182.52

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Solution

The fourth proportional to 13,971.48, 20,960.48 and 6,182.52 is: 9,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.48 : 20,960.48 = 6,182.52 : x
  2. Step 2: Convert to fraction form
    13,971.48/20,960.48 = 6,182.52/x
  3. Step 3: Cross multiply
    13,971.48x = 20,960.48 × 6,182.52
  4. Step 4: Simplify right side
    13,971.48x = 129,588,586.81
  5. Step 5: Solve for x
    x = 129,588,586.81/13,971.48
  6. Step 6: Final answer
    x = 9,275.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.