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Finding the Fourth Proportional to 13,420.68, 20,111.56 and 7,564.80

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Solution

The fourth proportional to 13,420.68, 20,111.56 and 7,564.80 is: 11,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.68 : 20,111.56 = 7,564.80 : x
  2. Step 2: Convert to fraction form
    13,420.68/20,111.56 = 7,564.80/x
  3. Step 3: Cross multiply
    13,420.68x = 20,111.56 × 7,564.80
  4. Step 4: Simplify right side
    13,420.68x = 152,139,929.09
  5. Step 5: Solve for x
    x = 152,139,929.09/13,420.68
  6. Step 6: Final answer
    x = 11,336.23

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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.