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Finding the Fourth Proportional to 16,624.84, 22,947.04 and 9,825.16

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Solution

The fourth proportional to 16,624.84, 22,947.04 and 9,825.16 is: 13,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.84 : 22,947.04 = 9,825.16 : x
  2. Step 2: Convert to fraction form
    16,624.84/22,947.04 = 9,825.16/x
  3. Step 3: Cross multiply
    16,624.84x = 22,947.04 × 9,825.16
  4. Step 4: Simplify right side
    16,624.84x = 225,458,339.53
  5. Step 5: Solve for x
    x = 225,458,339.53/16,624.84
  6. Step 6: Final answer
    x = 13,561.53

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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.