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Finding the Fourth Proportional to 24,588.48, 36,859.68 and 8,994

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Solution

The fourth proportional to 24,588.48, 36,859.68 and 8,994 is: 13,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.48 : 36,859.68 = 8,994 : x
  2. Step 2: Convert to fraction form
    24,588.48/36,859.68 = 8,994/x
  3. Step 3: Cross multiply
    24,588.48x = 36,859.68 × 8,994
  4. Step 4: Simplify right side
    24,588.48x = 331,515,961.92
  5. Step 5: Solve for x
    x = 331,515,961.92/24,588.48
  6. Step 6: Final answer
    x = 13,482.57

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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.