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Finding the Fourth Proportional to 22,683.84, 31,295.40 and 13,728.08

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Solution

The fourth proportional to 22,683.84, 31,295.40 and 13,728.08 is: 18,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.84 : 31,295.40 = 13,728.08 : x
  2. Step 2: Convert to fraction form
    22,683.84/31,295.40 = 13,728.08/x
  3. Step 3: Cross multiply
    22,683.84x = 31,295.40 × 13,728.08
  4. Step 4: Simplify right side
    22,683.84x = 429,625,754.83
  5. Step 5: Solve for x
    x = 429,625,754.83/22,683.84
  6. Step 6: Final answer
    x = 18,939.73

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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.