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Finding the Fourth Proportional to 16,265.40, 24,398.10 and 9,923.10

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Solution

The fourth proportional to 16,265.40, 24,398.10 and 9,923.10 is: 14,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.40 : 24,398.10 = 9,923.10 : x
  2. Step 2: Convert to fraction form
    16,265.40/24,398.10 = 9,923.10/x
  3. Step 3: Cross multiply
    16,265.40x = 24,398.10 × 9,923.10
  4. Step 4: Simplify right side
    16,265.40x = 242,104,786.11
  5. Step 5: Solve for x
    x = 242,104,786.11/16,265.40
  6. Step 6: Final answer
    x = 14,884.65

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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.