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Finding the Fourth Proportional to 24,509.21, 36,769.34 and 8,926.70

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Solution

The fourth proportional to 24,509.21, 36,769.34 and 8,926.70 is: 13,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.21 : 36,769.34 = 8,926.70 : x
  2. Step 2: Convert to fraction form
    24,509.21/36,769.34 = 8,926.70/x
  3. Step 3: Cross multiply
    24,509.21x = 36,769.34 × 8,926.70
  4. Step 4: Simplify right side
    24,509.21x = 328,228,638.90
  5. Step 5: Solve for x
    x = 328,228,638.90/24,509.21
  6. Step 6: Final answer
    x = 13,392.06

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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.