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Finding the Fourth Proportional to 24,371.80, 36,530.70 and 9,575.80

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Solution

The fourth proportional to 24,371.80, 36,530.70 and 9,575.80 is: 14,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.80 : 36,530.70 = 9,575.80 : x
  2. Step 2: Convert to fraction form
    24,371.80/36,530.70 = 9,575.80/x
  3. Step 3: Cross multiply
    24,371.80x = 36,530.70 × 9,575.80
  4. Step 4: Simplify right side
    24,371.80x = 349,810,677.06
  5. Step 5: Solve for x
    x = 349,810,677.06/24,371.80
  6. Step 6: Final answer
    x = 14,353.09

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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.