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Finding the Fourth Proportional to 13,256.80, 18,294.14 and 7,288.40

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Solution

The fourth proportional to 13,256.80, 18,294.14 and 7,288.40 is: 10,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.80 : 18,294.14 = 7,288.40 : x
  2. Step 2: Convert to fraction form
    13,256.80/18,294.14 = 7,288.40/x
  3. Step 3: Cross multiply
    13,256.80x = 18,294.14 × 7,288.40
  4. Step 4: Simplify right side
    13,256.80x = 133,335,009.98
  5. Step 5: Solve for x
    x = 133,335,009.98/13,256.80
  6. Step 6: Final answer
    x = 10,057.86

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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.