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Finding the Fourth Proportional to 13,297.41, 19,950.71 and 5,907.06

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Solution

The fourth proportional to 13,297.41, 19,950.71 and 5,907.06 is: 8,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.41 : 19,950.71 = 5,907.06 : x
  2. Step 2: Convert to fraction form
    13,297.41/19,950.71 = 5,907.06/x
  3. Step 3: Cross multiply
    13,297.41x = 19,950.71 × 5,907.06
  4. Step 4: Simplify right side
    13,297.41x = 117,850,011.48
  5. Step 5: Solve for x
    x = 117,850,011.48/13,297.41
  6. Step 6: Final answer
    x = 8,862.63

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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.