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Finding the Fourth Proportional to 13,143.18, 19,703.70 and 5,742

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Solution

The fourth proportional to 13,143.18, 19,703.70 and 5,742 is: 8,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.18 : 19,703.70 = 5,742 : x
  2. Step 2: Convert to fraction form
    13,143.18/19,703.70 = 5,742/x
  3. Step 3: Cross multiply
    13,143.18x = 19,703.70 × 5,742
  4. Step 4: Simplify right side
    13,143.18x = 113,138,645.40
  5. Step 5: Solve for x
    x = 113,138,645.40/13,143.18
  6. Step 6: Final answer
    x = 8,608.16

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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.