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Finding the Fourth Proportional to 22,806.56, 34,186.94 and 9,461.40

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Solution

The fourth proportional to 22,806.56, 34,186.94 and 9,461.40 is: 14,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.56 : 34,186.94 = 9,461.40 : x
  2. Step 2: Convert to fraction form
    22,806.56/34,186.94 = 9,461.40/x
  3. Step 3: Cross multiply
    22,806.56x = 34,186.94 × 9,461.40
  4. Step 4: Simplify right side
    22,806.56x = 323,456,337.77
  5. Step 5: Solve for x
    x = 323,456,337.77/22,806.56
  6. Step 6: Final answer
    x = 14,182.60

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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.