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Finding the Fourth Proportional to 14,332.24, 19,782.62 and 8,667

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Solution

The fourth proportional to 14,332.24, 19,782.62 and 8,667 is: 11,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.24 : 19,782.62 = 8,667 : x
  2. Step 2: Convert to fraction form
    14,332.24/19,782.62 = 8,667/x
  3. Step 3: Cross multiply
    14,332.24x = 19,782.62 × 8,667
  4. Step 4: Simplify right side
    14,332.24x = 171,455,967.54
  5. Step 5: Solve for x
    x = 171,455,967.54/14,332.24
  6. Step 6: Final answer
    x = 11,962.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.