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Finding the Fourth Proportional to 14,149.42, 19,532.18 and 9,551.20

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Solution

The fourth proportional to 14,149.42, 19,532.18 and 9,551.20 is: 13,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.42 : 19,532.18 = 9,551.20 : x
  2. Step 2: Convert to fraction form
    14,149.42/19,532.18 = 9,551.20/x
  3. Step 3: Cross multiply
    14,149.42x = 19,532.18 × 9,551.20
  4. Step 4: Simplify right side
    14,149.42x = 186,555,732.66
  5. Step 5: Solve for x
    x = 186,555,732.66/14,149.42
  6. Step 6: Final answer
    x = 13,184.69

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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.