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Finding the Fourth Proportional to 27,779.40, 38,335.26 and 15,204

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Solution

The fourth proportional to 27,779.40, 38,335.26 and 15,204 is: 20,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.40 : 38,335.26 = 15,204 : x
  2. Step 2: Convert to fraction form
    27,779.40/38,335.26 = 15,204/x
  3. Step 3: Cross multiply
    27,779.40x = 38,335.26 × 15,204
  4. Step 4: Simplify right side
    27,779.40x = 582,849,293.04
  5. Step 5: Solve for x
    x = 582,849,293.04/27,779.40
  6. Step 6: Final answer
    x = 20,981.35

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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.