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Finding the Fourth Proportional to 22,746.25, 34,120.59 and 7,165.09

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Solution

The fourth proportional to 22,746.25, 34,120.59 and 7,165.09 is: 10,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.25 : 34,120.59 = 7,165.09 : x
  2. Step 2: Convert to fraction form
    22,746.25/34,120.59 = 7,165.09/x
  3. Step 3: Cross multiply
    22,746.25x = 34,120.59 × 7,165.09
  4. Step 4: Simplify right side
    22,746.25x = 244,477,098.20
  5. Step 5: Solve for x
    x = 244,477,098.20/22,746.25
  6. Step 6: Final answer
    x = 10,748.02

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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.