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Finding the Fourth Proportional to 27,422.34, 37,842.66 and 14,847

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Solution

The fourth proportional to 27,422.34, 37,842.66 and 14,847 is: 20,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.34 : 37,842.66 = 14,847 : x
  2. Step 2: Convert to fraction form
    27,422.34/37,842.66 = 14,847/x
  3. Step 3: Cross multiply
    27,422.34x = 37,842.66 × 14,847
  4. Step 4: Simplify right side
    27,422.34x = 561,849,973.02
  5. Step 5: Solve for x
    x = 561,849,973.02/27,422.34
  6. Step 6: Final answer
    x = 20,488.77

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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.