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Finding the Fourth Proportional to 13,870.11, 20,810.27 and 9,952.64

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Solution

The fourth proportional to 13,870.11, 20,810.27 and 9,952.64 is: 14,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.11 : 20,810.27 = 9,952.64 : x
  2. Step 2: Convert to fraction form
    13,870.11/20,810.27 = 9,952.64/x
  3. Step 3: Cross multiply
    13,870.11x = 20,810.27 × 9,952.64
  4. Step 4: Simplify right side
    13,870.11x = 207,117,046.44
  5. Step 5: Solve for x
    x = 207,117,046.44/13,870.11
  6. Step 6: Final answer
    x = 14,932.62

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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.