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Finding the Fourth Proportional to 22,684.16, 34,018.68 and 9,534.08

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Solution

The fourth proportional to 22,684.16, 34,018.68 and 9,534.08 is: 14,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.16 : 34,018.68 = 9,534.08 : x
  2. Step 2: Convert to fraction form
    22,684.16/34,018.68 = 9,534.08/x
  3. Step 3: Cross multiply
    22,684.16x = 34,018.68 × 9,534.08
  4. Step 4: Simplify right side
    22,684.16x = 324,336,816.61
  5. Step 5: Solve for x
    x = 324,336,816.61/22,684.16
  6. Step 6: Final answer
    x = 14,297.94

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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.