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Finding the Fourth Proportional to 16,329.65, 22,533.19 and 9,614.84

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Solution

The fourth proportional to 16,329.65, 22,533.19 and 9,614.84 is: 13,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.65 : 22,533.19 = 9,614.84 : x
  2. Step 2: Convert to fraction form
    16,329.65/22,533.19 = 9,614.84/x
  3. Step 3: Cross multiply
    16,329.65x = 22,533.19 × 9,614.84
  4. Step 4: Simplify right side
    16,329.65x = 216,652,879.84
  5. Step 5: Solve for x
    x = 216,652,879.84/16,329.65
  6. Step 6: Final answer
    x = 13,267.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.