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Finding the Fourth Proportional to 13,532.76, 20,293.94 and 4,646.43

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Solution

The fourth proportional to 13,532.76, 20,293.94 and 4,646.43 is: 6,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.76 : 20,293.94 = 4,646.43 : x
  2. Step 2: Convert to fraction form
    13,532.76/20,293.94 = 4,646.43/x
  3. Step 3: Cross multiply
    13,532.76x = 20,293.94 × 4,646.43
  4. Step 4: Simplify right side
    13,532.76x = 94,294,371.63
  5. Step 5: Solve for x
    x = 94,294,371.63/13,532.76
  6. Step 6: Final answer
    x = 6,967.86

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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.