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Finding the Fourth Proportional to 13,564.68, 20,347.02 and 10,104.36

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Solution

The fourth proportional to 13,564.68, 20,347.02 and 10,104.36 is: 15,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.68 : 20,347.02 = 10,104.36 : x
  2. Step 2: Convert to fraction form
    13,564.68/20,347.02 = 10,104.36/x
  3. Step 3: Cross multiply
    13,564.68x = 20,347.02 × 10,104.36
  4. Step 4: Simplify right side
    13,564.68x = 205,593,615.01
  5. Step 5: Solve for x
    x = 205,593,615.01/13,564.68
  6. Step 6: Final answer
    x = 15,156.54

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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.