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Finding the Fourth Proportional to 16,205.28, 24,298.19 and 6,332.79

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Solution

The fourth proportional to 16,205.28, 24,298.19 and 6,332.79 is: 9,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.28 : 24,298.19 = 6,332.79 : x
  2. Step 2: Convert to fraction form
    16,205.28/24,298.19 = 6,332.79/x
  3. Step 3: Cross multiply
    16,205.28x = 24,298.19 × 6,332.79
  4. Step 4: Simplify right side
    16,205.28x = 153,875,334.65
  5. Step 5: Solve for x
    x = 153,875,334.65/16,205.28
  6. Step 6: Final answer
    x = 9,495.38

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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.