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Finding the Fourth Proportional to 27,842.04, 38,421 and 15,266.52

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Solution

The fourth proportional to 27,842.04, 38,421 and 15,266.52 is: 21,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.04 : 38,421 = 15,266.52 : x
  2. Step 2: Convert to fraction form
    27,842.04/38,421 = 15,266.52/x
  3. Step 3: Cross multiply
    27,842.04x = 38,421 × 15,266.52
  4. Step 4: Simplify right side
    27,842.04x = 586,554,964.92
  5. Step 5: Solve for x
    x = 586,554,964.92/27,842.04
  6. Step 6: Final answer
    x = 21,067.24

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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.