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Finding the Fourth Proportional to 13,252.20, 19,910.70 and 9,971.70

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Solution

The fourth proportional to 13,252.20, 19,910.70 and 9,971.70 is: 14,981.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.20 : 19,910.70 = 9,971.70 : x
  2. Step 2: Convert to fraction form
    13,252.20/19,910.70 = 9,971.70/x
  3. Step 3: Cross multiply
    13,252.20x = 19,910.70 × 9,971.70
  4. Step 4: Simplify right side
    13,252.20x = 198,543,527.19
  5. Step 5: Solve for x
    x = 198,543,527.19/13,252.20
  6. Step 6: Final answer
    x = 14,981.93

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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.