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Finding the Fourth Proportional to 16,333.68, 22,533.72 and 9,698.16

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Solution

The fourth proportional to 16,333.68, 22,533.72 and 9,698.16 is: 13,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.68 : 22,533.72 = 9,698.16 : x
  2. Step 2: Convert to fraction form
    16,333.68/22,533.72 = 9,698.16/x
  3. Step 3: Cross multiply
    16,333.68x = 22,533.72 × 9,698.16
  4. Step 4: Simplify right side
    16,333.68x = 218,535,621.96
  5. Step 5: Solve for x
    x = 218,535,621.96/16,333.68
  6. Step 6: Final answer
    x = 13,379.45

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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.