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Finding the Fourth Proportional to 19,189.65, 28,742.10 and 12,535.70

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Solution

The fourth proportional to 19,189.65, 28,742.10 and 12,535.70 is: 18,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.65 : 28,742.10 = 12,535.70 : x
  2. Step 2: Convert to fraction form
    19,189.65/28,742.10 = 12,535.70/x
  3. Step 3: Cross multiply
    19,189.65x = 28,742.10 × 12,535.70
  4. Step 4: Simplify right side
    19,189.65x = 360,302,367.82
  5. Step 5: Solve for x
    x = 360,302,367.82/19,189.65
  6. Step 6: Final answer
    x = 18,775.87

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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.