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Finding the Fourth Proportional to 27,902.88, 38,502.74 and 15,965.51

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Solution

The fourth proportional to 27,902.88, 38,502.74 and 15,965.51 is: 22,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.88 : 38,502.74 = 15,965.51 : x
  2. Step 2: Convert to fraction form
    27,902.88/38,502.74 = 15,965.51/x
  3. Step 3: Cross multiply
    27,902.88x = 38,502.74 × 15,965.51
  4. Step 4: Simplify right side
    27,902.88x = 614,715,727.90
  5. Step 5: Solve for x
    x = 614,715,727.90/27,902.88
  6. Step 6: Final answer
    x = 22,030.55

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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.