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Finding the Fourth Proportional to 16,022.40, 24,153.80 and 14,952

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Solution

The fourth proportional to 16,022.40, 24,153.80 and 14,952 is: 22,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.40 : 24,153.80 = 14,952 : x
  2. Step 2: Convert to fraction form
    16,022.40/24,153.80 = 14,952/x
  3. Step 3: Cross multiply
    16,022.40x = 24,153.80 × 14,952
  4. Step 4: Simplify right side
    16,022.40x = 361,147,617.60
  5. Step 5: Solve for x
    x = 361,147,617.60/16,022.40
  6. Step 6: Final answer
    x = 22,540.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.