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Finding the Fourth Proportional to 22,817.25, 31,488.48 and 12,746.12

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Solution

The fourth proportional to 22,817.25, 31,488.48 and 12,746.12 is: 17,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.25 : 31,488.48 = 12,746.12 : x
  2. Step 2: Convert to fraction form
    22,817.25/31,488.48 = 12,746.12/x
  3. Step 3: Cross multiply
    22,817.25x = 31,488.48 × 12,746.12
  4. Step 4: Simplify right side
    22,817.25x = 401,355,787.26
  5. Step 5: Solve for x
    x = 401,355,787.26/22,817.25
  6. Step 6: Final answer
    x = 17,590.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.