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Finding the Fourth Proportional to 13,648.86, 20,464.52 and 5,756.49

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Solution

The fourth proportional to 13,648.86, 20,464.52 and 5,756.49 is: 8,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.86 : 20,464.52 = 5,756.49 : x
  2. Step 2: Convert to fraction form
    13,648.86/20,464.52 = 5,756.49/x
  3. Step 3: Cross multiply
    13,648.86x = 20,464.52 × 5,756.49
  4. Step 4: Simplify right side
    13,648.86x = 117,803,775.95
  5. Step 5: Solve for x
    x = 117,803,775.95/13,648.86
  6. Step 6: Final answer
    x = 8,631.03

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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.