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Finding the Fourth Proportional to 13,326.64, 19,947.64 and 7,465.36

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Solution

The fourth proportional to 13,326.64, 19,947.64 and 7,465.36 is: 11,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,326.64 : 19,947.64 = 7,465.36 : x
  2. Step 2: Convert to fraction form
    13,326.64/19,947.64 = 7,465.36/x
  3. Step 3: Cross multiply
    13,326.64x = 19,947.64 × 7,465.36
  4. Step 4: Simplify right side
    13,326.64x = 148,916,313.75
  5. Step 5: Solve for x
    x = 148,916,313.75/13,326.64
  6. Step 6: Final answer
    x = 11,174.33

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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.