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Finding the Fourth Proportional to 16,468.35, 22,724.88 and 9,752.84

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Solution

The fourth proportional to 16,468.35, 22,724.88 and 9,752.84 is: 13,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.35 : 22,724.88 = 9,752.84 : x
  2. Step 2: Convert to fraction form
    16,468.35/22,724.88 = 9,752.84/x
  3. Step 3: Cross multiply
    16,468.35x = 22,724.88 × 9,752.84
  4. Step 4: Simplify right side
    16,468.35x = 221,632,005.03
  5. Step 5: Solve for x
    x = 221,632,005.03/16,468.35
  6. Step 6: Final answer
    x = 13,458.06

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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.