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Finding the Fourth Proportional to 12,297.16, 16,946.47 and 8,513.31

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Solution

The fourth proportional to 12,297.16, 16,946.47 and 8,513.31 is: 11,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.16 : 16,946.47 = 8,513.31 : x
  2. Step 2: Convert to fraction form
    12,297.16/16,946.47 = 8,513.31/x
  3. Step 3: Cross multiply
    12,297.16x = 16,946.47 × 8,513.31
  4. Step 4: Simplify right side
    12,297.16x = 144,270,552.52
  5. Step 5: Solve for x
    x = 144,270,552.52/12,297.16
  6. Step 6: Final answer
    x = 11,732.02

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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.