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Finding the Fourth Proportional to 15,643.34, 23,463.64 and 5,782.70

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Solution

The fourth proportional to 15,643.34, 23,463.64 and 5,782.70 is: 8,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.34 : 23,463.64 = 5,782.70 : x
  2. Step 2: Convert to fraction form
    15,643.34/23,463.64 = 5,782.70/x
  3. Step 3: Cross multiply
    15,643.34x = 23,463.64 × 5,782.70
  4. Step 4: Simplify right side
    15,643.34x = 135,683,191.03
  5. Step 5: Solve for x
    x = 135,683,191.03/15,643.34
  6. Step 6: Final answer
    x = 8,673.54

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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.