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Finding the Fourth Proportional to 15,802.92, 23,715.72 and 9,231.12

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Solution

The fourth proportional to 15,802.92, 23,715.72 and 9,231.12 is: 13,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.92 : 23,715.72 = 9,231.12 : x
  2. Step 2: Convert to fraction form
    15,802.92/23,715.72 = 9,231.12/x
  3. Step 3: Cross multiply
    15,802.92x = 23,715.72 × 9,231.12
  4. Step 4: Simplify right side
    15,802.92x = 218,922,657.21
  5. Step 5: Solve for x
    x = 218,922,657.21/15,802.92
  6. Step 6: Final answer
    x = 13,853.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.