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Finding the Fourth Proportional to 12,678.48, 19,024.56 and 6,013.44

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Solution

The fourth proportional to 12,678.48, 19,024.56 and 6,013.44 is: 9,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.48 : 19,024.56 = 6,013.44 : x
  2. Step 2: Convert to fraction form
    12,678.48/19,024.56 = 6,013.44/x
  3. Step 3: Cross multiply
    12,678.48x = 19,024.56 × 6,013.44
  4. Step 4: Simplify right side
    12,678.48x = 114,403,050.09
  5. Step 5: Solve for x
    x = 114,403,050.09/12,678.48
  6. Step 6: Final answer
    x = 9,023.40

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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.