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Finding the Fourth Proportional to 22,468.32, 31,005.99 and 12,396.78

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Solution

The fourth proportional to 22,468.32, 31,005.99 and 12,396.78 is: 17,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.32 : 31,005.99 = 12,396.78 : x
  2. Step 2: Convert to fraction form
    22,468.32/31,005.99 = 12,396.78/x
  3. Step 3: Cross multiply
    22,468.32x = 31,005.99 × 12,396.78
  4. Step 4: Simplify right side
    22,468.32x = 384,374,436.71
  5. Step 5: Solve for x
    x = 384,374,436.71/22,468.32
  6. Step 6: Final answer
    x = 17,107.40

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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.