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Finding the Fourth Proportional to 14,719.44, 22,068.36 and 6,924

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Solution

The fourth proportional to 14,719.44, 22,068.36 and 6,924 is: 10,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.44 : 22,068.36 = 6,924 : x
  2. Step 2: Convert to fraction form
    14,719.44/22,068.36 = 6,924/x
  3. Step 3: Cross multiply
    14,719.44x = 22,068.36 × 6,924
  4. Step 4: Simplify right side
    14,719.44x = 152,801,324.64
  5. Step 5: Solve for x
    x = 152,801,324.64/14,719.44
  6. Step 6: Final answer
    x = 10,380.92

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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.