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Finding the Fourth Proportional to 13,088.66, 19,658.16 and 11,218.77

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Solution

The fourth proportional to 13,088.66, 19,658.16 and 11,218.77 is: 16,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.66 : 19,658.16 = 11,218.77 : x
  2. Step 2: Convert to fraction form
    13,088.66/19,658.16 = 11,218.77/x
  3. Step 3: Cross multiply
    13,088.66x = 19,658.16 × 11,218.77
  4. Step 4: Simplify right side
    13,088.66x = 220,540,375.66
  5. Step 5: Solve for x
    x = 220,540,375.66/13,088.66
  6. Step 6: Final answer
    x = 16,849.74

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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.