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Finding the Fourth Proportional to 22,686.16, 31,298.16 and 16,731.94

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Solution

The fourth proportional to 22,686.16, 31,298.16 and 16,731.94 is: 23,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.16 : 31,298.16 = 16,731.94 : x
  2. Step 2: Convert to fraction form
    22,686.16/31,298.16 = 16,731.94/x
  3. Step 3: Cross multiply
    22,686.16x = 31,298.16 × 16,731.94
  4. Step 4: Simplify right side
    22,686.16x = 523,678,935.23
  5. Step 5: Solve for x
    x = 523,678,935.23/22,686.16
  6. Step 6: Final answer
    x = 23,083.63

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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.