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Finding the Fourth Proportional to 12,678.48, 18,999.12 and 7,142.52

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Solution

The fourth proportional to 12,678.48, 18,999.12 and 7,142.52 is: 10,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.48 : 18,999.12 = 7,142.52 : x
  2. Step 2: Convert to fraction form
    12,678.48/18,999.12 = 7,142.52/x
  3. Step 3: Cross multiply
    12,678.48x = 18,999.12 × 7,142.52
  4. Step 4: Simplify right side
    12,678.48x = 135,701,594.58
  5. Step 5: Solve for x
    x = 135,701,594.58/12,678.48
  6. Step 6: Final answer
    x = 10,703.30

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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.