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Finding the Fourth Proportional to 19,697.85, 29,547.03 and 6,550.22

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Solution

The fourth proportional to 19,697.85, 29,547.03 and 6,550.22 is: 9,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.85 : 29,547.03 = 6,550.22 : x
  2. Step 2: Convert to fraction form
    19,697.85/29,547.03 = 6,550.22/x
  3. Step 3: Cross multiply
    19,697.85x = 29,547.03 × 6,550.22
  4. Step 4: Simplify right side
    19,697.85x = 193,539,366.36
  5. Step 5: Solve for x
    x = 193,539,366.36/19,697.85
  6. Step 6: Final answer
    x = 9,825.41

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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.