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Finding the Fourth Proportional to 19,610.88, 29,419.97 and 6,464.18

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Solution

The fourth proportional to 19,610.88, 29,419.97 and 6,464.18 is: 9,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610.88 : 29,419.97 = 6,464.18 : x
  2. Step 2: Convert to fraction form
    19,610.88/29,419.97 = 6,464.18/x
  3. Step 3: Cross multiply
    19,610.88x = 29,419.97 × 6,464.18
  4. Step 4: Simplify right side
    19,610.88x = 190,175,802.25
  5. Step 5: Solve for x
    x = 190,175,802.25/19,610.88
  6. Step 6: Final answer
    x = 9,697.46

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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.