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Finding the Fourth Proportional to 13,411.57, 20,101.87 and 9,848.65

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Solution

The fourth proportional to 13,411.57, 20,101.87 and 9,848.65 is: 14,761.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.57 : 20,101.87 = 9,848.65 : x
  2. Step 2: Convert to fraction form
    13,411.57/20,101.87 = 9,848.65/x
  3. Step 3: Cross multiply
    13,411.57x = 20,101.87 × 9,848.65
  4. Step 4: Simplify right side
    13,411.57x = 197,976,281.98
  5. Step 5: Solve for x
    x = 197,976,281.98/13,411.57
  6. Step 6: Final answer
    x = 14,761.60

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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.