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Finding the Fourth Proportional to 13,494.63, 20,254.92 and 6,573.99

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Solution

The fourth proportional to 13,494.63, 20,254.92 and 6,573.99 is: 9,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.63 : 20,254.92 = 6,573.99 : x
  2. Step 2: Convert to fraction form
    13,494.63/20,254.92 = 6,573.99/x
  3. Step 3: Cross multiply
    13,494.63x = 20,254.92 × 6,573.99
  4. Step 4: Simplify right side
    13,494.63x = 133,155,641.53
  5. Step 5: Solve for x
    x = 133,155,641.53/13,494.63
  6. Step 6: Final answer
    x = 9,867.31

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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.