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Finding the Fourth Proportional to 12,497.14, 18,736.37 and 7,565.59

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Solution

The fourth proportional to 12,497.14, 18,736.37 and 7,565.59 is: 11,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.14 : 18,736.37 = 7,565.59 : x
  2. Step 2: Convert to fraction form
    12,497.14/18,736.37 = 7,565.59/x
  3. Step 3: Cross multiply
    12,497.14x = 18,736.37 × 7,565.59
  4. Step 4: Simplify right side
    12,497.14x = 141,751,562.00
  5. Step 5: Solve for x
    x = 141,751,562.00/12,497.14
  6. Step 6: Final answer
    x = 11,342.72

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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.