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Finding the Fourth Proportional to 16,176.52, 22,318.02 and 9,805.16

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Solution

The fourth proportional to 16,176.52, 22,318.02 and 9,805.16 is: 13,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.52 : 22,318.02 = 9,805.16 : x
  2. Step 2: Convert to fraction form
    16,176.52/22,318.02 = 9,805.16/x
  3. Step 3: Cross multiply
    16,176.52x = 22,318.02 × 9,805.16
  4. Step 4: Simplify right side
    16,176.52x = 218,831,756.98
  5. Step 5: Solve for x
    x = 218,831,756.98/16,176.52
  6. Step 6: Final answer
    x = 13,527.74

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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.