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Finding the Fourth Proportional to 27,779.40, 38,326.04 and 15,834.12

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Solution

The fourth proportional to 27,779.40, 38,326.04 and 15,834.12 is: 21,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.40 : 38,326.04 = 15,834.12 : x
  2. Step 2: Convert to fraction form
    27,779.40/38,326.04 = 15,834.12/x
  3. Step 3: Cross multiply
    27,779.40x = 38,326.04 × 15,834.12
  4. Step 4: Simplify right side
    27,779.40x = 606,859,116.48
  5. Step 5: Solve for x
    x = 606,859,116.48/27,779.40
  6. Step 6: Final answer
    x = 21,845.65

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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.