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Finding the Fourth Proportional to 13,512.71, 18,646.47 and 7,846.53

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Solution

The fourth proportional to 13,512.71, 18,646.47 and 7,846.53 is: 10,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.71 : 18,646.47 = 7,846.53 : x
  2. Step 2: Convert to fraction form
    13,512.71/18,646.47 = 7,846.53/x
  3. Step 3: Cross multiply
    13,512.71x = 18,646.47 × 7,846.53
  4. Step 4: Simplify right side
    13,512.71x = 146,310,086.25
  5. Step 5: Solve for x
    x = 146,310,086.25/13,512.71
  6. Step 6: Final answer
    x = 10,827.59

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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.