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Finding the Fourth Proportional to 24,644.36, 36,985.71 and 17,200.46

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Solution

The fourth proportional to 24,644.36, 36,985.71 and 17,200.46 is: 25,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.36 : 36,985.71 = 17,200.46 : x
  2. Step 2: Convert to fraction form
    24,644.36/36,985.71 = 17,200.46/x
  3. Step 3: Cross multiply
    24,644.36x = 36,985.71 × 17,200.46
  4. Step 4: Simplify right side
    24,644.36x = 636,171,225.43
  5. Step 5: Solve for x
    x = 636,171,225.43/24,644.36
  6. Step 6: Final answer
    x = 25,814.07

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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.