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Finding the Fourth Proportional to 23,155.69, 31,954.88 and 12,545.32

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Solution

The fourth proportional to 23,155.69, 31,954.88 and 12,545.32 is: 17,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,155.69 : 31,954.88 = 12,545.32 : x
  2. Step 2: Convert to fraction form
    23,155.69/31,954.88 = 12,545.32/x
  3. Step 3: Cross multiply
    23,155.69x = 31,954.88 × 12,545.32
  4. Step 4: Simplify right side
    23,155.69x = 400,883,972.66
  5. Step 5: Solve for x
    x = 400,883,972.66/23,155.69
  6. Step 6: Final answer
    x = 17,312.55

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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.