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Finding the Fourth Proportional to 13,823.25, 20,713.87 and 10,127.93

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Solution

The fourth proportional to 13,823.25, 20,713.87 and 10,127.93 is: 15,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.25 : 20,713.87 = 10,127.93 : x
  2. Step 2: Convert to fraction form
    13,823.25/20,713.87 = 10,127.93/x
  3. Step 3: Cross multiply
    13,823.25x = 20,713.87 × 10,127.93
  4. Step 4: Simplify right side
    13,823.25x = 209,788,574.75
  5. Step 5: Solve for x
    x = 209,788,574.75/13,823.25
  6. Step 6: Final answer
    x = 15,176.50

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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.