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Finding the Fourth Proportional to 13,220.59, 19,824.61 and 7,675.63

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Solution

The fourth proportional to 13,220.59, 19,824.61 and 7,675.63 is: 11,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.59 : 19,824.61 = 7,675.63 : x
  2. Step 2: Convert to fraction form
    13,220.59/19,824.61 = 7,675.63/x
  3. Step 3: Cross multiply
    13,220.59x = 19,824.61 × 7,675.63
  4. Step 4: Simplify right side
    13,220.59x = 152,166,371.25
  5. Step 5: Solve for x
    x = 152,166,371.25/13,220.59
  6. Step 6: Final answer
    x = 11,509.80

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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.