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Finding the Fourth Proportional to 17,922.65, 24,722.46 and 11,547.14

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Solution

The fourth proportional to 17,922.65, 24,722.46 and 11,547.14 is: 15,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.65 : 24,722.46 = 11,547.14 : x
  2. Step 2: Convert to fraction form
    17,922.65/24,722.46 = 11,547.14/x
  3. Step 3: Cross multiply
    17,922.65x = 24,722.46 × 11,547.14
  4. Step 4: Simplify right side
    17,922.65x = 285,473,583.15
  5. Step 5: Solve for x
    x = 285,473,583.15/17,922.65
  6. Step 6: Final answer
    x = 15,928.09

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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.