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Finding the Fourth Proportional to 27,870.26, 38,461.62 and 15,295

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Solution

The fourth proportional to 27,870.26, 38,461.62 and 15,295 is: 21,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.26 : 38,461.62 = 15,295 : x
  2. Step 2: Convert to fraction form
    27,870.26/38,461.62 = 15,295/x
  3. Step 3: Cross multiply
    27,870.26x = 38,461.62 × 15,295
  4. Step 4: Simplify right side
    27,870.26x = 588,270,477.90
  5. Step 5: Solve for x
    x = 588,270,477.90/27,870.26
  6. Step 6: Final answer
    x = 21,107.46

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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.