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Finding the Fourth Proportional to 13,435.98, 20,126.28 and 7,872.47

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Solution

The fourth proportional to 13,435.98, 20,126.28 and 7,872.47 is: 11,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,435.98 : 20,126.28 = 7,872.47 : x
  2. Step 2: Convert to fraction form
    13,435.98/20,126.28 = 7,872.47/x
  3. Step 3: Cross multiply
    13,435.98x = 20,126.28 × 7,872.47
  4. Step 4: Simplify right side
    13,435.98x = 158,443,434.88
  5. Step 5: Solve for x
    x = 158,443,434.88/13,435.98
  6. Step 6: Final answer
    x = 11,792.47

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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.