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Finding the Fourth Proportional to 13,714.41, 20,571.71 and 4,354.45

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Solution

The fourth proportional to 13,714.41, 20,571.71 and 4,354.45 is: 6,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.41 : 20,571.71 = 4,354.45 : x
  2. Step 2: Convert to fraction form
    13,714.41/20,571.71 = 4,354.45/x
  3. Step 3: Cross multiply
    13,714.41x = 20,571.71 × 4,354.45
  4. Step 4: Simplify right side
    13,714.41x = 89,578,482.61
  5. Step 5: Solve for x
    x = 89,578,482.61/13,714.41
  6. Step 6: Final answer
    x = 6,531.71

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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.