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Finding the Fourth Proportional to 15,762.35, 23,642.62 and 5,773.84

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Solution

The fourth proportional to 15,762.35, 23,642.62 and 5,773.84 is: 8,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.35 : 23,642.62 = 5,773.84 : x
  2. Step 2: Convert to fraction form
    15,762.35/23,642.62 = 5,773.84/x
  3. Step 3: Cross multiply
    15,762.35x = 23,642.62 × 5,773.84
  4. Step 4: Simplify right side
    15,762.35x = 136,508,631.52
  5. Step 5: Solve for x
    x = 136,508,631.52/15,762.35
  6. Step 6: Final answer
    x = 8,660.42

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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.