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Finding the Fourth Proportional to 12,900.69, 19,332.75 and 5,497.68

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Solution

The fourth proportional to 12,900.69, 19,332.75 and 5,497.68 is: 8,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.69 : 19,332.75 = 5,497.68 : x
  2. Step 2: Convert to fraction form
    12,900.69/19,332.75 = 5,497.68/x
  3. Step 3: Cross multiply
    12,900.69x = 19,332.75 × 5,497.68
  4. Step 4: Simplify right side
    12,900.69x = 106,285,273.02
  5. Step 5: Solve for x
    x = 106,285,273.02/12,900.69
  6. Step 6: Final answer
    x = 8,238.73

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