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Finding the Fourth Proportional to 23,996.10, 35,923.05 and 17,784

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Solution

The fourth proportional to 23,996.10, 35,923.05 and 17,784 is: 26,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,996.10 : 35,923.05 = 17,784 : x
  2. Step 2: Convert to fraction form
    23,996.10/35,923.05 = 17,784/x
  3. Step 3: Cross multiply
    23,996.10x = 35,923.05 × 17,784
  4. Step 4: Simplify right side
    23,996.10x = 638,855,521.20
  5. Step 5: Solve for x
    x = 638,855,521.20/23,996.10
  6. Step 6: Final answer
    x = 26,623.31

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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.