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Finding the Fourth Proportional to 16,624.68, 22,942.62 and 9,071.16

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Solution

The fourth proportional to 16,624.68, 22,942.62 and 9,071.16 is: 12,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.68 : 22,942.62 = 9,071.16 : x
  2. Step 2: Convert to fraction form
    16,624.68/22,942.62 = 9,071.16/x
  3. Step 3: Cross multiply
    16,624.68x = 22,942.62 × 9,071.16
  4. Step 4: Simplify right side
    16,624.68x = 208,116,176.84
  5. Step 5: Solve for x
    x = 208,116,176.84/16,624.68
  6. Step 6: Final answer
    x = 12,518.51

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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.