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Finding the Fourth Proportional to 14,583.78, 21,857.22 and 7,920

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Solution

The fourth proportional to 14,583.78, 21,857.22 and 7,920 is: 11,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.78 : 21,857.22 = 7,920 : x
  2. Step 2: Convert to fraction form
    14,583.78/21,857.22 = 7,920/x
  3. Step 3: Cross multiply
    14,583.78x = 21,857.22 × 7,920
  4. Step 4: Simplify right side
    14,583.78x = 173,109,182.40
  5. Step 5: Solve for x
    x = 173,109,182.40/14,583.78
  6. Step 6: Final answer
    x = 11,869.98

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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.