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Finding the Fourth Proportional to 27,419.12, 37,838.40 and 14,843.87

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Solution

The fourth proportional to 27,419.12, 37,838.40 and 14,843.87 is: 20,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.12 : 37,838.40 = 14,843.87 : x
  2. Step 2: Convert to fraction form
    27,419.12/37,838.40 = 14,843.87/x
  3. Step 3: Cross multiply
    27,419.12x = 37,838.40 × 14,843.87
  4. Step 4: Simplify right side
    27,419.12x = 561,668,290.61
  5. Step 5: Solve for x
    x = 561,668,290.61/27,419.12
  6. Step 6: Final answer
    x = 20,484.55

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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.