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Finding the Fourth Proportional to 14,470.78, 21,706.62 and 4,983

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Solution

The fourth proportional to 14,470.78, 21,706.62 and 4,983 is: 7,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.78 : 21,706.62 = 4,983 : x
  2. Step 2: Convert to fraction form
    14,470.78/21,706.62 = 4,983/x
  3. Step 3: Cross multiply
    14,470.78x = 21,706.62 × 4,983
  4. Step 4: Simplify right side
    14,470.78x = 108,164,087.46
  5. Step 5: Solve for x
    x = 108,164,087.46/14,470.78
  6. Step 6: Final answer
    x = 7,474.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.