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Finding the Fourth Proportional to 12,907.86, 19,351.37 and 5,006.30

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Solution

The fourth proportional to 12,907.86, 19,351.37 and 5,006.30 is: 7,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.86 : 19,351.37 = 5,006.30 : x
  2. Step 2: Convert to fraction form
    12,907.86/19,351.37 = 5,006.30/x
  3. Step 3: Cross multiply
    12,907.86x = 19,351.37 × 5,006.30
  4. Step 4: Simplify right side
    12,907.86x = 96,878,712.70
  5. Step 5: Solve for x
    x = 96,878,712.70/12,907.86
  6. Step 6: Final answer
    x = 7,505.40

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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.