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Finding the Fourth Proportional to 20,232.98, 30,368.43 and 12,456.98

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Solution

The fourth proportional to 20,232.98, 30,368.43 and 12,456.98 is: 18,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.98 : 30,368.43 = 12,456.98 : x
  2. Step 2: Convert to fraction form
    20,232.98/30,368.43 = 12,456.98/x
  3. Step 3: Cross multiply
    20,232.98x = 30,368.43 × 12,456.98
  4. Step 4: Simplify right side
    20,232.98x = 378,298,925.14
  5. Step 5: Solve for x
    x = 378,298,925.14/20,232.98
  6. Step 6: Final answer
    x = 18,697.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.