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Finding the Fourth Proportional to 22,983.66, 31,713.62 and 13,554.09

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Solution

The fourth proportional to 22,983.66, 31,713.62 and 13,554.09 is: 18,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,983.66 : 31,713.62 = 13,554.09 : x
  2. Step 2: Convert to fraction form
    22,983.66/31,713.62 = 13,554.09/x
  3. Step 3: Cross multiply
    22,983.66x = 31,713.62 × 13,554.09
  4. Step 4: Simplify right side
    22,983.66x = 429,849,191.94
  5. Step 5: Solve for x
    x = 429,849,191.94/22,983.66
  6. Step 6: Final answer
    x = 18,702.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.