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Finding the Fourth Proportional to 22,788.48, 34,185.16 and 9,642.18

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Solution

The fourth proportional to 22,788.48, 34,185.16 and 9,642.18 is: 14,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788.48 : 34,185.16 = 9,642.18 : x
  2. Step 2: Convert to fraction form
    22,788.48/34,185.16 = 9,642.18/x
  3. Step 3: Cross multiply
    22,788.48x = 34,185.16 × 9,642.18
  4. Step 4: Simplify right side
    22,788.48x = 329,619,466.05
  5. Step 5: Solve for x
    x = 329,619,466.05/22,788.48
  6. Step 6: Final answer
    x = 14,464.30

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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.