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Finding the Fourth Proportional to 16,332.42, 24,499.44 and 4,646.46

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Solution

The fourth proportional to 16,332.42, 24,499.44 and 4,646.46 is: 6,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.42 : 24,499.44 = 4,646.46 : x
  2. Step 2: Convert to fraction form
    16,332.42/24,499.44 = 4,646.46/x
  3. Step 3: Cross multiply
    16,332.42x = 24,499.44 × 4,646.46
  4. Step 4: Simplify right side
    16,332.42x = 113,835,667.98
  5. Step 5: Solve for x
    x = 113,835,667.98/16,332.42
  6. Step 6: Final answer
    x = 6,969.92

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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.