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Finding the Fourth Proportional to 22,681.60, 34,022.16 and 7,099.36

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Solution

The fourth proportional to 22,681.60, 34,022.16 and 7,099.36 is: 10,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.60 : 34,022.16 = 7,099.36 : x
  2. Step 2: Convert to fraction form
    22,681.60/34,022.16 = 7,099.36/x
  3. Step 3: Cross multiply
    22,681.60x = 34,022.16 × 7,099.36
  4. Step 4: Simplify right side
    22,681.60x = 241,535,561.82
  5. Step 5: Solve for x
    x = 241,535,561.82/22,681.60
  6. Step 6: Final answer
    x = 10,648.96

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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.