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Finding the Fourth Proportional to 15,252.32, 22,859.64 and 9,006

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Solution

The fourth proportional to 15,252.32, 22,859.64 and 9,006 is: 13,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.32 : 22,859.64 = 9,006 : x
  2. Step 2: Convert to fraction form
    15,252.32/22,859.64 = 9,006/x
  3. Step 3: Cross multiply
    15,252.32x = 22,859.64 × 9,006
  4. Step 4: Simplify right side
    15,252.32x = 205,873,917.84
  5. Step 5: Solve for x
    x = 205,873,917.84/15,252.32
  6. Step 6: Final answer
    x = 13,497.88

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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.