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Finding the Fourth Proportional to 14,776.02, 20,382.84 and 9,464.85

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Solution

The fourth proportional to 14,776.02, 20,382.84 and 9,464.85 is: 13,056.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.02 : 20,382.84 = 9,464.85 : x
  2. Step 2: Convert to fraction form
    14,776.02/20,382.84 = 9,464.85/x
  3. Step 3: Cross multiply
    14,776.02x = 20,382.84 × 9,464.85
  4. Step 4: Simplify right side
    14,776.02x = 192,920,523.17
  5. Step 5: Solve for x
    x = 192,920,523.17/14,776.02
  6. Step 6: Final answer
    x = 13,056.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.