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Finding the Fourth Proportional to 23,102.16, 34,486.10 and 20,299.63

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Solution

The fourth proportional to 23,102.16, 34,486.10 and 20,299.63 is: 30,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.16 : 34,486.10 = 20,299.63 : x
  2. Step 2: Convert to fraction form
    23,102.16/34,486.10 = 20,299.63/x
  3. Step 3: Cross multiply
    23,102.16x = 34,486.10 × 20,299.63
  4. Step 4: Simplify right side
    23,102.16x = 700,055,070.14
  5. Step 5: Solve for x
    x = 700,055,070.14/23,102.16
  6. Step 6: Final answer
    x = 30,302.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.