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Finding the Fourth Proportional to 13,818.20, 19,069.02 and 7,530.57

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Solution

The fourth proportional to 13,818.20, 19,069.02 and 7,530.57 is: 10,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.20 : 19,069.02 = 7,530.57 : x
  2. Step 2: Convert to fraction form
    13,818.20/19,069.02 = 7,530.57/x
  3. Step 3: Cross multiply
    13,818.20x = 19,069.02 × 7,530.57
  4. Step 4: Simplify right side
    13,818.20x = 143,600,589.94
  5. Step 5: Solve for x
    x = 143,600,589.94/13,818.20
  6. Step 6: Final answer
    x = 10,392.14

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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.