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Finding the Fourth Proportional to 13,138.60, 19,707.90 and 5,343.40

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Solution

The fourth proportional to 13,138.60, 19,707.90 and 5,343.40 is: 8,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.60 : 19,707.90 = 5,343.40 : x
  2. Step 2: Convert to fraction form
    13,138.60/19,707.90 = 5,343.40/x
  3. Step 3: Cross multiply
    13,138.60x = 19,707.90 × 5,343.40
  4. Step 4: Simplify right side
    13,138.60x = 105,307,192.86
  5. Step 5: Solve for x
    x = 105,307,192.86/13,138.60
  6. Step 6: Final answer
    x = 8,015.10

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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.