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Finding the Fourth Proportional to 16,441, 22,688.76 and 8,989

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Solution

The fourth proportional to 16,441, 22,688.76 and 8,989 is: 12,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441 : 22,688.76 = 8,989 : x
  2. Step 2: Convert to fraction form
    16,441/22,688.76 = 8,989/x
  3. Step 3: Cross multiply
    16,441x = 22,688.76 × 8,989
  4. Step 4: Simplify right side
    16,441x = 203,949,263.64
  5. Step 5: Solve for x
    x = 203,949,263.64/16,441
  6. Step 6: Final answer
    x = 12,404.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.