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Finding the Fourth Proportional to 12,832.96, 17,703.40 and 8,355.08

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Solution

The fourth proportional to 12,832.96, 17,703.40 and 8,355.08 is: 11,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.96 : 17,703.40 = 8,355.08 : x
  2. Step 2: Convert to fraction form
    12,832.96/17,703.40 = 8,355.08/x
  3. Step 3: Cross multiply
    12,832.96x = 17,703.40 × 8,355.08
  4. Step 4: Simplify right side
    12,832.96x = 147,913,323.27
  5. Step 5: Solve for x
    x = 147,913,323.27/12,832.96
  6. Step 6: Final answer
    x = 11,526.05

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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.