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Finding the Fourth Proportional to 12,496.64, 18,735.62 and 7,565.09

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Solution

The fourth proportional to 12,496.64, 18,735.62 and 7,565.09 is: 11,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.64 : 18,735.62 = 7,565.09 : x
  2. Step 2: Convert to fraction form
    12,496.64/18,735.62 = 7,565.09/x
  3. Step 3: Cross multiply
    12,496.64x = 18,735.62 × 7,565.09
  4. Step 4: Simplify right side
    12,496.64x = 141,736,520.00
  5. Step 5: Solve for x
    x = 141,736,520.00/12,496.64
  6. Step 6: Final answer
    x = 11,341.97

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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.