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Finding the Fourth Proportional to 17,644.01, 24,348.75 and 10,475.36

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Solution

The fourth proportional to 17,644.01, 24,348.75 and 10,475.36 is: 14,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.01 : 24,348.75 = 10,475.36 : x
  2. Step 2: Convert to fraction form
    17,644.01/24,348.75 = 10,475.36/x
  3. Step 3: Cross multiply
    17,644.01x = 24,348.75 × 10,475.36
  4. Step 4: Simplify right side
    17,644.01x = 255,061,800.06
  5. Step 5: Solve for x
    x = 255,061,800.06/17,644.01
  6. Step 6: Final answer
    x = 14,456.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.