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Finding the Fourth Proportional to 19,573.90, 29,352.63 and 6,419.02

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Solution

The fourth proportional to 19,573.90, 29,352.63 and 6,419.02 is: 9,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,573.90 : 29,352.63 = 6,419.02 : x
  2. Step 2: Convert to fraction form
    19,573.90/29,352.63 = 6,419.02/x
  3. Step 3: Cross multiply
    19,573.90x = 29,352.63 × 6,419.02
  4. Step 4: Simplify right side
    19,573.90x = 188,415,119.02
  5. Step 5: Solve for x
    x = 188,415,119.02/19,573.90
  6. Step 6: Final answer
    x = 9,625.83

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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.