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Finding the Fourth Proportional to 15,813.64, 23,717.94 and 5,282.74

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Solution

The fourth proportional to 15,813.64, 23,717.94 and 5,282.74 is: 7,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.64 : 23,717.94 = 5,282.74 : x
  2. Step 2: Convert to fraction form
    15,813.64/23,717.94 = 5,282.74/x
  3. Step 3: Cross multiply
    15,813.64x = 23,717.94 × 5,282.74
  4. Step 4: Simplify right side
    15,813.64x = 125,295,710.36
  5. Step 5: Solve for x
    x = 125,295,710.36/15,813.64
  6. Step 6: Final answer
    x = 7,923.27

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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.