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Finding the Fourth Proportional to 15,757.34, 23,642.78 and 5,895.36

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Solution

The fourth proportional to 15,757.34, 23,642.78 and 5,895.36 is: 8,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.34 : 23,642.78 = 5,895.36 : x
  2. Step 2: Convert to fraction form
    15,757.34/23,642.78 = 5,895.36/x
  3. Step 3: Cross multiply
    15,757.34x = 23,642.78 × 5,895.36
  4. Step 4: Simplify right side
    15,757.34x = 139,382,670.02
  5. Step 5: Solve for x
    x = 139,382,670.02/15,757.34
  6. Step 6: Final answer
    x = 8,845.57

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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.