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Finding the Fourth Proportional to 18,702.33, 25,807.74 and 10,743

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Solution

The fourth proportional to 18,702.33, 25,807.74 and 10,743 is: 14,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.33 : 25,807.74 = 10,743 : x
  2. Step 2: Convert to fraction form
    18,702.33/25,807.74 = 10,743/x
  3. Step 3: Cross multiply
    18,702.33x = 25,807.74 × 10,743
  4. Step 4: Simplify right side
    18,702.33x = 277,252,550.82
  5. Step 5: Solve for x
    x = 277,252,550.82/18,702.33
  6. Step 6: Final answer
    x = 14,824.49

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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.