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Finding the Fourth Proportional to 13,326, 19,989.48 and 5,005.14

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Solution

The fourth proportional to 13,326, 19,989.48 and 5,005.14 is: 7,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,326 : 19,989.48 = 5,005.14 : x
  2. Step 2: Convert to fraction form
    13,326/19,989.48 = 5,005.14/x
  3. Step 3: Cross multiply
    13,326x = 19,989.48 × 5,005.14
  4. Step 4: Simplify right side
    13,326x = 100,050,145.93
  5. Step 5: Solve for x
    x = 100,050,145.93/13,326
  6. Step 6: Final answer
    x = 7,507.89

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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.