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Finding the Fourth Proportional to 22,681.62, 34,027.38 and 9,526.50

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Solution

The fourth proportional to 22,681.62, 34,027.38 and 9,526.50 is: 14,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.62 : 34,027.38 = 9,526.50 : x
  2. Step 2: Convert to fraction form
    22,681.62/34,027.38 = 9,526.50/x
  3. Step 3: Cross multiply
    22,681.62x = 34,027.38 × 9,526.50
  4. Step 4: Simplify right side
    22,681.62x = 324,161,835.57
  5. Step 5: Solve for x
    x = 324,161,835.57/22,681.62
  6. Step 6: Final answer
    x = 14,291.83

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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.