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Finding the Fourth Proportional to 15,826.89, 21,841.06 and 9,110.07

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Solution

The fourth proportional to 15,826.89, 21,841.06 and 9,110.07 is: 12,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.89 : 21,841.06 = 9,110.07 : x
  2. Step 2: Convert to fraction form
    15,826.89/21,841.06 = 9,110.07/x
  3. Step 3: Cross multiply
    15,826.89x = 21,841.06 × 9,110.07
  4. Step 4: Simplify right side
    15,826.89x = 198,973,585.47
  5. Step 5: Solve for x
    x = 198,973,585.47/15,826.89
  6. Step 6: Final answer
    x = 12,571.87

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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.