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Finding the Fourth Proportional to 13,106.66, 18,112.88 and 11,648.66

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Solution

The fourth proportional to 13,106.66, 18,112.88 and 11,648.66 is: 16,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.66 : 18,112.88 = 11,648.66 : x
  2. Step 2: Convert to fraction form
    13,106.66/18,112.88 = 11,648.66/x
  3. Step 3: Cross multiply
    13,106.66x = 18,112.88 × 11,648.66
  4. Step 4: Simplify right side
    13,106.66x = 210,990,722.50
  5. Step 5: Solve for x
    x = 210,990,722.50/13,106.66
  6. Step 6: Final answer
    x = 16,097.98

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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.