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Finding the Fourth Proportional to 13,131.25, 19,700.12 and 3,897.25

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Solution

The fourth proportional to 13,131.25, 19,700.12 and 3,897.25 is: 5,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.25 : 19,700.12 = 3,897.25 : x
  2. Step 2: Convert to fraction form
    13,131.25/19,700.12 = 3,897.25/x
  3. Step 3: Cross multiply
    13,131.25x = 19,700.12 × 3,897.25
  4. Step 4: Simplify right side
    13,131.25x = 76,776,292.67
  5. Step 5: Solve for x
    x = 76,776,292.67/13,131.25
  6. Step 6: Final answer
    x = 5,846.84

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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.