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Finding the Fourth Proportional to 15,806.26, 21,814.82 and 9,091.76

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Solution

The fourth proportional to 15,806.26, 21,814.82 and 9,091.76 is: 12,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.26 : 21,814.82 = 9,091.76 : x
  2. Step 2: Convert to fraction form
    15,806.26/21,814.82 = 9,091.76/x
  3. Step 3: Cross multiply
    15,806.26x = 21,814.82 × 9,091.76
  4. Step 4: Simplify right side
    15,806.26x = 198,335,110.15
  5. Step 5: Solve for x
    x = 198,335,110.15/15,806.26
  6. Step 6: Final answer
    x = 12,547.89

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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.