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Finding the Fourth Proportional to 13,237.83, 19,855.80 and 7,687.71

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Solution

The fourth proportional to 13,237.83, 19,855.80 and 7,687.71 is: 11,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.83 : 19,855.80 = 7,687.71 : x
  2. Step 2: Convert to fraction form
    13,237.83/19,855.80 = 7,687.71/x
  3. Step 3: Cross multiply
    13,237.83x = 19,855.80 × 7,687.71
  4. Step 4: Simplify right side
    13,237.83x = 152,645,632.22
  5. Step 5: Solve for x
    x = 152,645,632.22/13,237.83
  6. Step 6: Final answer
    x = 11,531.02

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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.