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Finding the Fourth Proportional to 22,986.34, 34,482.21 and 8,197.36

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Solution

The fourth proportional to 22,986.34, 34,482.21 and 8,197.36 is: 12,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.34 : 34,482.21 = 8,197.36 : x
  2. Step 2: Convert to fraction form
    22,986.34/34,482.21 = 8,197.36/x
  3. Step 3: Cross multiply
    22,986.34x = 34,482.21 × 8,197.36
  4. Step 4: Simplify right side
    22,986.34x = 282,663,088.97
  5. Step 5: Solve for x
    x = 282,663,088.97/22,986.34
  6. Step 6: Final answer
    x = 12,297.00

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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.