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Finding the Fourth Proportional to 27,444, 37,873.14 and 14,868.75

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Solution

The fourth proportional to 27,444, 37,873.14 and 14,868.75 is: 20,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444 : 37,873.14 = 14,868.75 : x
  2. Step 2: Convert to fraction form
    27,444/37,873.14 = 14,868.75/x
  3. Step 3: Cross multiply
    27,444x = 37,873.14 × 14,868.75
  4. Step 4: Simplify right side
    27,444x = 563,126,250.38
  5. Step 5: Solve for x
    x = 563,126,250.38/27,444
  6. Step 6: Final answer
    x = 20,519.10

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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.