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Finding the Fourth Proportional to 14,096.98, 19,453 and 7,722.30

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Solution

The fourth proportional to 14,096.98, 19,453 and 7,722.30 is: 10,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.98 : 19,453 = 7,722.30 : x
  2. Step 2: Convert to fraction form
    14,096.98/19,453 = 7,722.30/x
  3. Step 3: Cross multiply
    14,096.98x = 19,453 × 7,722.30
  4. Step 4: Simplify right side
    14,096.98x = 150,221,901.90
  5. Step 5: Solve for x
    x = 150,221,901.90/14,096.98
  6. Step 6: Final answer
    x = 10,656.32

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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.