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Finding the Fourth Proportional to 14,881.25, 22,325.28 and 6,449.17

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Solution

The fourth proportional to 14,881.25, 22,325.28 and 6,449.17 is: 9,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.25 : 22,325.28 = 6,449.17 : x
  2. Step 2: Convert to fraction form
    14,881.25/22,325.28 = 6,449.17/x
  3. Step 3: Cross multiply
    14,881.25x = 22,325.28 × 6,449.17
  4. Step 4: Simplify right side
    14,881.25x = 143,979,473.23
  5. Step 5: Solve for x
    x = 143,979,473.23/14,881.25
  6. Step 6: Final answer
    x = 9,675.23

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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.