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Finding the Fourth Proportional to 14,011.30, 19,338.78 and 8,349.09

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Solution

The fourth proportional to 14,011.30, 19,338.78 and 8,349.09 is: 11,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011.30 : 19,338.78 = 8,349.09 : x
  2. Step 2: Convert to fraction form
    14,011.30/19,338.78 = 8,349.09/x
  3. Step 3: Cross multiply
    14,011.30x = 19,338.78 × 8,349.09
  4. Step 4: Simplify right side
    14,011.30x = 161,461,214.71
  5. Step 5: Solve for x
    x = 161,461,214.71/14,011.30
  6. Step 6: Final answer
    x = 11,523.64

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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.