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Finding the Fourth Proportional to 13,966.40, 20,952.84 and 12,424.16

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Solution

The fourth proportional to 13,966.40, 20,952.84 and 12,424.16 is: 18,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.40 : 20,952.84 = 12,424.16 : x
  2. Step 2: Convert to fraction form
    13,966.40/20,952.84 = 12,424.16/x
  3. Step 3: Cross multiply
    13,966.40x = 20,952.84 × 12,424.16
  4. Step 4: Simplify right side
    13,966.40x = 260,321,436.61
  5. Step 5: Solve for x
    x = 260,321,436.61/13,966.40
  6. Step 6: Final answer
    x = 18,639.12

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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.