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Finding the Fourth Proportional to 27,806.68, 38,376.90 and 15,867.28

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Solution

The fourth proportional to 27,806.68, 38,376.90 and 15,867.28 is: 21,898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.68 : 38,376.90 = 15,867.28 : x
  2. Step 2: Convert to fraction form
    27,806.68/38,376.90 = 15,867.28/x
  3. Step 3: Cross multiply
    27,806.68x = 38,376.90 × 15,867.28
  4. Step 4: Simplify right side
    27,806.68x = 608,937,017.83
  5. Step 5: Solve for x
    x = 608,937,017.83/27,806.68
  6. Step 6: Final answer
    x = 21,898.95

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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.