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Finding the Fourth Proportional to 16,061.33, 24,081.72 and 7,724.74

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Solution

The fourth proportional to 16,061.33, 24,081.72 and 7,724.74 is: 11,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061.33 : 24,081.72 = 7,724.74 : x
  2. Step 2: Convert to fraction form
    16,061.33/24,081.72 = 7,724.74/x
  3. Step 3: Cross multiply
    16,061.33x = 24,081.72 × 7,724.74
  4. Step 4: Simplify right side
    16,061.33x = 186,025,047.33
  5. Step 5: Solve for x
    x = 186,025,047.33/16,061.33
  6. Step 6: Final answer
    x = 11,582.17

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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.