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Finding the Fourth Proportional to 27,842.16, 38,422.68 and 15,266.76

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Solution

The fourth proportional to 27,842.16, 38,422.68 and 15,266.76 is: 21,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.16 : 38,422.68 = 15,266.76 : x
  2. Step 2: Convert to fraction form
    27,842.16/38,422.68 = 15,266.76/x
  3. Step 3: Cross multiply
    27,842.16x = 38,422.68 × 15,266.76
  4. Step 4: Simplify right side
    27,842.16x = 586,589,834.12
  5. Step 5: Solve for x
    x = 586,589,834.12/27,842.16
  6. Step 6: Final answer
    x = 21,068.40

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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.