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Finding the Fourth Proportional to 27,570.38, 38,047.12 and 14,995.13

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Solution

The fourth proportional to 27,570.38, 38,047.12 and 14,995.13 is: 20,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.38 : 38,047.12 = 14,995.13 : x
  2. Step 2: Convert to fraction form
    27,570.38/38,047.12 = 14,995.13/x
  3. Step 3: Cross multiply
    27,570.38x = 38,047.12 × 14,995.13
  4. Step 4: Simplify right side
    27,570.38x = 570,521,282.80
  5. Step 5: Solve for x
    x = 570,521,282.80/27,570.38
  6. Step 6: Final answer
    x = 20,693.27

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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.