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Finding the Fourth Proportional to 27,418, 37,836.84 and 14,842.84

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Solution

The fourth proportional to 27,418, 37,836.84 and 14,842.84 is: 20,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,418 : 37,836.84 = 14,842.84 : x
  2. Step 2: Convert to fraction form
    27,418/37,836.84 = 14,842.84/x
  3. Step 3: Cross multiply
    27,418x = 37,836.84 × 14,842.84
  4. Step 4: Simplify right side
    27,418x = 561,606,162.23
  5. Step 5: Solve for x
    x = 561,606,162.23/27,418
  6. Step 6: Final answer
    x = 20,483.12

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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.