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Finding the Fourth Proportional to 22,860.24, 34,292.64 and 9,006

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Solution

The fourth proportional to 22,860.24, 34,292.64 and 9,006 is: 13,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860.24 : 34,292.64 = 9,006 : x
  2. Step 2: Convert to fraction form
    22,860.24/34,292.64 = 9,006/x
  3. Step 3: Cross multiply
    22,860.24x = 34,292.64 × 9,006
  4. Step 4: Simplify right side
    22,860.24x = 308,839,515.84
  5. Step 5: Solve for x
    x = 308,839,515.84/22,860.24
  6. Step 6: Final answer
    x = 13,509.90

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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.