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Finding the Fourth Proportional to 16,332.21, 24,499.17 and 4,646.34

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Solution

The fourth proportional to 16,332.21, 24,499.17 and 4,646.34 is: 6,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.21 : 24,499.17 = 4,646.34 : x
  2. Step 2: Convert to fraction form
    16,332.21/24,499.17 = 4,646.34/x
  3. Step 3: Cross multiply
    16,332.21x = 24,499.17 × 4,646.34
  4. Step 4: Simplify right side
    16,332.21x = 113,831,473.54
  5. Step 5: Solve for x
    x = 113,831,473.54/16,332.21
  6. Step 6: Final answer
    x = 6,969.75

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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.