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Finding the Fourth Proportional to 13,388.22, 18,475.47 and 7,419.84

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Solution

The fourth proportional to 13,388.22, 18,475.47 and 7,419.84 is: 10,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.22 : 18,475.47 = 7,419.84 : x
  2. Step 2: Convert to fraction form
    13,388.22/18,475.47 = 7,419.84/x
  3. Step 3: Cross multiply
    13,388.22x = 18,475.47 × 7,419.84
  4. Step 4: Simplify right side
    13,388.22x = 137,084,980.41
  5. Step 5: Solve for x
    x = 137,084,980.41/13,388.22
  6. Step 6: Final answer
    x = 10,239.22

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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.