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Finding the Fourth Proportional to 12,678.98, 19,025.31 and 6,013.94

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Solution

The fourth proportional to 12,678.98, 19,025.31 and 6,013.94 is: 9,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.98 : 19,025.31 = 6,013.94 : x
  2. Step 2: Convert to fraction form
    12,678.98/19,025.31 = 6,013.94/x
  3. Step 3: Cross multiply
    12,678.98x = 19,025.31 × 6,013.94
  4. Step 4: Simplify right side
    12,678.98x = 114,417,072.82
  5. Step 5: Solve for x
    x = 114,417,072.82/12,678.98
  6. Step 6: Final answer
    x = 9,024.15

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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.