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Finding the Fourth Proportional to 12,730.40, 19,109.57 and 10,114.72

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Solution

The fourth proportional to 12,730.40, 19,109.57 and 10,114.72 is: 15,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.40 : 19,109.57 = 10,114.72 : x
  2. Step 2: Convert to fraction form
    12,730.40/19,109.57 = 10,114.72/x
  3. Step 3: Cross multiply
    12,730.40x = 19,109.57 × 10,114.72
  4. Step 4: Simplify right side
    12,730.40x = 193,287,949.87
  5. Step 5: Solve for x
    x = 193,287,949.87/12,730.40
  6. Step 6: Final answer
    x = 15,183.18

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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.