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Finding the Fourth Proportional to 13,349.78, 19,998.95 and 7,488.62

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Solution

The fourth proportional to 13,349.78, 19,998.95 and 7,488.62 is: 11,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.78 : 19,998.95 = 7,488.62 : x
  2. Step 2: Convert to fraction form
    13,349.78/19,998.95 = 7,488.62/x
  3. Step 3: Cross multiply
    13,349.78x = 19,998.95 × 7,488.62
  4. Step 4: Simplify right side
    13,349.78x = 149,764,399.51
  5. Step 5: Solve for x
    x = 149,764,399.51/13,349.78
  6. Step 6: Final answer
    x = 11,218.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.