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Finding the Fourth Proportional to 14,806.64, 22,225.34 and 8,578.82

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Solution

The fourth proportional to 14,806.64, 22,225.34 and 8,578.82 is: 12,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.64 : 22,225.34 = 8,578.82 : x
  2. Step 2: Convert to fraction form
    14,806.64/22,225.34 = 8,578.82/x
  3. Step 3: Cross multiply
    14,806.64x = 22,225.34 × 8,578.82
  4. Step 4: Simplify right side
    14,806.64x = 190,667,191.30
  5. Step 5: Solve for x
    x = 190,667,191.30/14,806.64
  6. Step 6: Final answer
    x = 12,877.14

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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.