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Finding the Fourth Proportional to 27,471, 37,909.98 and 14,895.78

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Solution

The fourth proportional to 27,471, 37,909.98 and 14,895.78 is: 20,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471 : 37,909.98 = 14,895.78 : x
  2. Step 2: Convert to fraction form
    27,471/37,909.98 = 14,895.78/x
  3. Step 3: Cross multiply
    27,471x = 37,909.98 × 14,895.78
  4. Step 4: Simplify right side
    27,471x = 564,698,721.88
  5. Step 5: Solve for x
    x = 564,698,721.88/27,471
  6. Step 6: Final answer
    x = 20,556.18

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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.