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Finding the Fourth Proportional to 12,833.20, 17,710.08 and 8,053.32

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Solution

The fourth proportional to 12,833.20, 17,710.08 and 8,053.32 is: 11,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.20 : 17,710.08 = 8,053.32 : x
  2. Step 2: Convert to fraction form
    12,833.20/17,710.08 = 8,053.32/x
  3. Step 3: Cross multiply
    12,833.20x = 17,710.08 × 8,053.32
  4. Step 4: Simplify right side
    12,833.20x = 142,624,977.68
  5. Step 5: Solve for x
    x = 142,624,977.68/12,833.20
  6. Step 6: Final answer
    x = 11,113.75

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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.