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Finding the Fourth Proportional to 13,378.64, 18,463.54 and 7,410.87

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Solution

The fourth proportional to 13,378.64, 18,463.54 and 7,410.87 is: 10,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.64 : 18,463.54 = 7,410.87 : x
  2. Step 2: Convert to fraction form
    13,378.64/18,463.54 = 7,410.87/x
  3. Step 3: Cross multiply
    13,378.64x = 18,463.54 × 7,410.87
  4. Step 4: Simplify right side
    13,378.64x = 136,830,876.15
  5. Step 5: Solve for x
    x = 136,830,876.15/13,378.64
  6. Step 6: Final answer
    x = 10,227.56

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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.