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Finding the Fourth Proportional to 16,213.62, 22,376.07 and 9,045.81

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Solution

The fourth proportional to 16,213.62, 22,376.07 and 9,045.81 is: 12,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.62 : 22,376.07 = 9,045.81 : x
  2. Step 2: Convert to fraction form
    16,213.62/22,376.07 = 9,045.81/x
  3. Step 3: Cross multiply
    16,213.62x = 22,376.07 × 9,045.81
  4. Step 4: Simplify right side
    16,213.62x = 202,409,677.77
  5. Step 5: Solve for x
    x = 202,409,677.77/16,213.62
  6. Step 6: Final answer
    x = 12,483.93

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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.