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Finding the Fourth Proportional to 13,997.73, 19,316.71 and 7,624.30

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Solution

The fourth proportional to 13,997.73, 19,316.71 and 7,624.30 is: 10,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.73 : 19,316.71 = 7,624.30 : x
  2. Step 2: Convert to fraction form
    13,997.73/19,316.71 = 7,624.30/x
  3. Step 3: Cross multiply
    13,997.73x = 19,316.71 × 7,624.30
  4. Step 4: Simplify right side
    13,997.73x = 147,276,418.91
  5. Step 5: Solve for x
    x = 147,276,418.91/13,997.73
  6. Step 6: Final answer
    x = 10,521.45

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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.