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Finding the Fourth Proportional to 13,237.80, 19,829.10 and 6,223.80

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Solution

The fourth proportional to 13,237.80, 19,829.10 and 6,223.80 is: 9,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.80 : 19,829.10 = 6,223.80 : x
  2. Step 2: Convert to fraction form
    13,237.80/19,829.10 = 6,223.80/x
  3. Step 3: Cross multiply
    13,237.80x = 19,829.10 × 6,223.80
  4. Step 4: Simplify right side
    13,237.80x = 123,412,352.58
  5. Step 5: Solve for x
    x = 123,412,352.58/13,237.80
  6. Step 6: Final answer
    x = 9,322.72

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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.