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Finding the Fourth Proportional to 16,289.78, 24,464.77 and 9,756.12

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Solution

The fourth proportional to 16,289.78, 24,464.77 and 9,756.12 is: 14,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.78 : 24,464.77 = 9,756.12 : x
  2. Step 2: Convert to fraction form
    16,289.78/24,464.77 = 9,756.12/x
  3. Step 3: Cross multiply
    16,289.78x = 24,464.77 × 9,756.12
  4. Step 4: Simplify right side
    16,289.78x = 238,681,231.89
  5. Step 5: Solve for x
    x = 238,681,231.89/16,289.78
  6. Step 6: Final answer
    x = 14,652.21

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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.