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Finding the Fourth Proportional to 27,895.38, 38,502.93 and 17,278.98

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Solution

The fourth proportional to 27,895.38, 38,502.93 and 17,278.98 is: 23,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,895.38 : 38,502.93 = 17,278.98 : x
  2. Step 2: Convert to fraction form
    27,895.38/38,502.93 = 17,278.98/x
  3. Step 3: Cross multiply
    27,895.38x = 38,502.93 × 17,278.98
  4. Step 4: Simplify right side
    27,895.38x = 665,291,357.41
  5. Step 5: Solve for x
    x = 665,291,357.41/27,895.38
  6. Step 6: Final answer
    x = 23,849.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.