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Finding the Fourth Proportional to 15,226.94, 22,829.57 and 5,859.07

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Solution

The fourth proportional to 15,226.94, 22,829.57 and 5,859.07 is: 8,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.94 : 22,829.57 = 5,859.07 : x
  2. Step 2: Convert to fraction form
    15,226.94/22,829.57 = 5,859.07/x
  3. Step 3: Cross multiply
    15,226.94x = 22,829.57 × 5,859.07
  4. Step 4: Simplify right side
    15,226.94x = 133,759,962.33
  5. Step 5: Solve for x
    x = 133,759,962.33/15,226.94
  6. Step 6: Final answer
    x = 8,784.43

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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.