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Finding the Fourth Proportional to 12,102.48, 18,142.79 and 8,406.45

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Solution

The fourth proportional to 12,102.48, 18,142.79 and 8,406.45 is: 12,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.48 : 18,142.79 = 8,406.45 : x
  2. Step 2: Convert to fraction form
    12,102.48/18,142.79 = 8,406.45/x
  3. Step 3: Cross multiply
    12,102.48x = 18,142.79 × 8,406.45
  4. Step 4: Simplify right side
    12,102.48x = 152,516,414.96
  5. Step 5: Solve for x
    x = 152,516,414.96/12,102.48
  6. Step 6: Final answer
    x = 12,602.08

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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.