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Finding the Fourth Proportional to 27,689.66, 38,206.62 and 15,752.30

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Solution

The fourth proportional to 27,689.66, 38,206.62 and 15,752.30 is: 21,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.66 : 38,206.62 = 15,752.30 : x
  2. Step 2: Convert to fraction form
    27,689.66/38,206.62 = 15,752.30/x
  3. Step 3: Cross multiply
    27,689.66x = 38,206.62 × 15,752.30
  4. Step 4: Simplify right side
    27,689.66x = 601,842,140.23
  5. Step 5: Solve for x
    x = 601,842,140.23/27,689.66
  6. Step 6: Final answer
    x = 21,735.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.