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Finding the Fourth Proportional to 23,383.30, 32,260.95 and 13,309.22

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Solution

The fourth proportional to 23,383.30, 32,260.95 and 13,309.22 is: 18,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.30 : 32,260.95 = 13,309.22 : x
  2. Step 2: Convert to fraction form
    23,383.30/32,260.95 = 13,309.22/x
  3. Step 3: Cross multiply
    23,383.30x = 32,260.95 × 13,309.22
  4. Step 4: Simplify right side
    23,383.30x = 429,368,080.96
  5. Step 5: Solve for x
    x = 429,368,080.96/23,383.30
  6. Step 6: Final answer
    x = 18,362.17

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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.