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Finding the Fourth Proportional to 22,830.72, 31,506.30 and 12,759.16

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Solution

The fourth proportional to 22,830.72, 31,506.30 and 12,759.16 is: 17,607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.72 : 31,506.30 = 12,759.16 : x
  2. Step 2: Convert to fraction form
    22,830.72/31,506.30 = 12,759.16/x
  3. Step 3: Cross multiply
    22,830.72x = 31,506.30 × 12,759.16
  4. Step 4: Simplify right side
    22,830.72x = 401,993,843.94
  5. Step 5: Solve for x
    x = 401,993,843.94/22,830.72
  6. Step 6: Final answer
    x = 17,607.59

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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.