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Finding the Fourth Proportional to 24,509.02, 36,769.06 and 8,926.50

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Solution

The fourth proportional to 24,509.02, 36,769.06 and 8,926.50 is: 13,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.02 : 36,769.06 = 8,926.50 : x
  2. Step 2: Convert to fraction form
    24,509.02/36,769.06 = 8,926.50/x
  3. Step 3: Cross multiply
    24,509.02x = 36,769.06 × 8,926.50
  4. Step 4: Simplify right side
    24,509.02x = 328,219,014.09
  5. Step 5: Solve for x
    x = 328,219,014.09/24,509.02
  6. Step 6: Final answer
    x = 13,391.76

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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.