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Finding the Fourth Proportional to 16,312.18, 22,512.39 and 9,143.31

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Solution

The fourth proportional to 16,312.18, 22,512.39 and 9,143.31 is: 12,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.18 : 22,512.39 = 9,143.31 : x
  2. Step 2: Convert to fraction form
    16,312.18/22,512.39 = 9,143.31/x
  3. Step 3: Cross multiply
    16,312.18x = 22,512.39 × 9,143.31
  4. Step 4: Simplify right side
    16,312.18x = 205,837,768.53
  5. Step 5: Solve for x
    x = 205,837,768.53/16,312.18
  6. Step 6: Final answer
    x = 12,618.66

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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.