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Finding the Fourth Proportional to 13,388.16, 18,475.77 and 7,419.90

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Solution

The fourth proportional to 13,388.16, 18,475.77 and 7,419.90 is: 10,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.16 : 18,475.77 = 7,419.90 : x
  2. Step 2: Convert to fraction form
    13,388.16/18,475.77 = 7,419.90/x
  3. Step 3: Cross multiply
    13,388.16x = 18,475.77 × 7,419.90
  4. Step 4: Simplify right side
    13,388.16x = 137,088,365.82
  5. Step 5: Solve for x
    x = 137,088,365.82/13,388.16
  6. Step 6: Final answer
    x = 10,239.52

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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.