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Finding the Fourth Proportional to 13,971.75, 19,275.55 and 8,000.23

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Solution

The fourth proportional to 13,971.75, 19,275.55 and 8,000.23 is: 11,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.75 : 19,275.55 = 8,000.23 : x
  2. Step 2: Convert to fraction form
    13,971.75/19,275.55 = 8,000.23/x
  3. Step 3: Cross multiply
    13,971.75x = 19,275.55 × 8,000.23
  4. Step 4: Simplify right side
    13,971.75x = 154,208,833.38
  5. Step 5: Solve for x
    x = 154,208,833.38/13,971.75
  6. Step 6: Final answer
    x = 11,037.19

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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.