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Finding the Fourth Proportional to 27,770.65, 38,322.75 and 15,833.71

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Solution

The fourth proportional to 27,770.65, 38,322.75 and 15,833.71 is: 21,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.65 : 38,322.75 = 15,833.71 : x
  2. Step 2: Convert to fraction form
    27,770.65/38,322.75 = 15,833.71/x
  3. Step 3: Cross multiply
    27,770.65x = 38,322.75 × 15,833.71
  4. Step 4: Simplify right side
    27,770.65x = 606,791,417.18
  5. Step 5: Solve for x
    x = 606,791,417.18/27,770.65
  6. Step 6: Final answer
    x = 21,850.10

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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.