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Finding the Fourth Proportional to 37,810.80, 56,716.20 and 13,186.80

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Solution

The fourth proportional to 37,810.80, 56,716.20 and 13,186.80 is: 19,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,810.80 : 56,716.20 = 13,186.80 : x
  2. Step 2: Convert to fraction form
    37,810.80/56,716.20 = 13,186.80/x
  3. Step 3: Cross multiply
    37,810.80x = 56,716.20 × 13,186.80
  4. Step 4: Simplify right side
    37,810.80x = 747,905,186.16
  5. Step 5: Solve for x
    x = 747,905,186.16/37,810.80
  6. Step 6: Final answer
    x = 19,780.20

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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.