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Finding the Fourth Proportional to 27,686.49, 38,210.16 and 16,359.65

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Solution

The fourth proportional to 27,686.49, 38,210.16 and 16,359.65 is: 22,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.49 : 38,210.16 = 16,359.65 : x
  2. Step 2: Convert to fraction form
    27,686.49/38,210.16 = 16,359.65/x
  3. Step 3: Cross multiply
    27,686.49x = 38,210.16 × 16,359.65
  4. Step 4: Simplify right side
    27,686.49x = 625,104,652.99
  5. Step 5: Solve for x
    x = 625,104,652.99/27,686.49
  6. Step 6: Final answer
    x = 22,577.97

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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.