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Finding the Fourth Proportional to 13,123.60, 18,106.50 and 7,458.10

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Solution

The fourth proportional to 13,123.60, 18,106.50 and 7,458.10 is: 10,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.60 : 18,106.50 = 7,458.10 : x
  2. Step 2: Convert to fraction form
    13,123.60/18,106.50 = 7,458.10/x
  3. Step 3: Cross multiply
    13,123.60x = 18,106.50 × 7,458.10
  4. Step 4: Simplify right side
    13,123.60x = 135,040,087.65
  5. Step 5: Solve for x
    x = 135,040,087.65/13,123.60
  6. Step 6: Final answer
    x = 10,289.87

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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.