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Finding the Fourth Proportional to 15,817.92, 23,718.83 and 5,284.17

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Solution

The fourth proportional to 15,817.92, 23,718.83 and 5,284.17 is: 7,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.92 : 23,718.83 = 5,284.17 : x
  2. Step 2: Convert to fraction form
    15,817.92/23,718.83 = 5,284.17/x
  3. Step 3: Cross multiply
    15,817.92x = 23,718.83 × 5,284.17
  4. Step 4: Simplify right side
    15,817.92x = 125,334,303.50
  5. Step 5: Solve for x
    x = 125,334,303.50/15,817.92
  6. Step 6: Final answer
    x = 7,923.57

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Why These Related Problems?

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