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Finding the Fourth Proportional to 13,532.68, 18,675.12 and 7,564.34

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Solution

The fourth proportional to 13,532.68, 18,675.12 and 7,564.34 is: 10,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.68 : 18,675.12 = 7,564.34 : x
  2. Step 2: Convert to fraction form
    13,532.68/18,675.12 = 7,564.34/x
  3. Step 3: Cross multiply
    13,532.68x = 18,675.12 × 7,564.34
  4. Step 4: Simplify right side
    13,532.68x = 141,264,896.06
  5. Step 5: Solve for x
    x = 141,264,896.06/13,532.68
  6. Step 6: Final answer
    x = 10,438.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.