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Finding the Fourth Proportional to 12,832.80, 17,703.84 and 9,483.60

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Solution

The fourth proportional to 12,832.80, 17,703.84 and 9,483.60 is: 13,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.80 : 17,703.84 = 9,483.60 : x
  2. Step 2: Convert to fraction form
    12,832.80/17,703.84 = 9,483.60/x
  3. Step 3: Cross multiply
    12,832.80x = 17,703.84 × 9,483.60
  4. Step 4: Simplify right side
    12,832.80x = 167,896,137.02
  5. Step 5: Solve for x
    x = 167,896,137.02/12,832.80
  6. Step 6: Final answer
    x = 13,083.36

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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.