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Finding the Fourth Proportional to 13,256.46, 19,889.28 and 6,677.28

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Solution

The fourth proportional to 13,256.46, 19,889.28 and 6,677.28 is: 10,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.46 : 19,889.28 = 6,677.28 : x
  2. Step 2: Convert to fraction form
    13,256.46/19,889.28 = 6,677.28/x
  3. Step 3: Cross multiply
    13,256.46x = 19,889.28 × 6,677.28
  4. Step 4: Simplify right side
    13,256.46x = 132,806,291.56
  5. Step 5: Solve for x
    x = 132,806,291.56/13,256.46
  6. Step 6: Final answer
    x = 10,018.23

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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.