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Finding the Fourth Proportional to 16,332.57, 24,499.14 and 4,646.10

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Solution

The fourth proportional to 16,332.57, 24,499.14 and 4,646.10 is: 6,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.57 : 24,499.14 = 4,646.10 : x
  2. Step 2: Convert to fraction form
    16,332.57/24,499.14 = 4,646.10/x
  3. Step 3: Cross multiply
    16,332.57x = 24,499.14 × 4,646.10
  4. Step 4: Simplify right side
    16,332.57x = 113,825,454.35
  5. Step 5: Solve for x
    x = 113,825,454.35/16,332.57
  6. Step 6: Final answer
    x = 6,969.23

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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.