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Finding the Fourth Proportional to 16,332.84, 24,491.34 and 9,580.27

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Solution

The fourth proportional to 16,332.84, 24,491.34 and 9,580.27 is: 14,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.84 : 24,491.34 = 9,580.27 : x
  2. Step 2: Convert to fraction form
    16,332.84/24,491.34 = 9,580.27/x
  3. Step 3: Cross multiply
    16,332.84x = 24,491.34 × 9,580.27
  4. Step 4: Simplify right side
    16,332.84x = 234,633,649.86
  5. Step 5: Solve for x
    x = 234,633,649.86/16,332.84
  6. Step 6: Final answer
    x = 14,365.76

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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.