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Finding the Fourth Proportional to 13,234.86, 19,852.02 and 5,335.20

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Solution

The fourth proportional to 13,234.86, 19,852.02 and 5,335.20 is: 8,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.86 : 19,852.02 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    13,234.86/19,852.02 = 5,335.20/x
  3. Step 3: Cross multiply
    13,234.86x = 19,852.02 × 5,335.20
  4. Step 4: Simplify right side
    13,234.86x = 105,914,497.10
  5. Step 5: Solve for x
    x = 105,914,497.10/13,234.86
  6. Step 6: Final answer
    x = 8,002.69

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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.