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Finding the Fourth Proportional to 11,026.65, 16,561.25 and 9,448.95

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Solution

The fourth proportional to 11,026.65, 16,561.25 and 9,448.95 is: 14,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.65 : 16,561.25 = 9,448.95 : x
  2. Step 2: Convert to fraction form
    11,026.65/16,561.25 = 9,448.95/x
  3. Step 3: Cross multiply
    11,026.65x = 16,561.25 × 9,448.95
  4. Step 4: Simplify right side
    11,026.65x = 156,486,423.19
  5. Step 5: Solve for x
    x = 156,486,423.19/11,026.65
  6. Step 6: Final answer
    x = 14,191.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.