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Finding the Fourth Proportional to 13,297.86, 19,951.47 and 5,907.51

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Solution

The fourth proportional to 13,297.86, 19,951.47 and 5,907.51 is: 8,863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.86 : 19,951.47 = 5,907.51 : x
  2. Step 2: Convert to fraction form
    13,297.86/19,951.47 = 5,907.51/x
  3. Step 3: Cross multiply
    13,297.86x = 19,951.47 × 5,907.51
  4. Step 4: Simplify right side
    13,297.86x = 117,863,508.54
  5. Step 5: Solve for x
    x = 117,863,508.54/13,297.86
  6. Step 6: Final answer
    x = 8,863.34

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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.