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Finding the Fourth Proportional to 24,199.95, 36,305.10 and 8,405.47

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Solution

The fourth proportional to 24,199.95, 36,305.10 and 8,405.47 is: 12,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.95 : 36,305.10 = 8,405.47 : x
  2. Step 2: Convert to fraction form
    24,199.95/36,305.10 = 8,405.47/x
  3. Step 3: Cross multiply
    24,199.95x = 36,305.10 × 8,405.47
  4. Step 4: Simplify right side
    24,199.95x = 305,161,428.90
  5. Step 5: Solve for x
    x = 305,161,428.90/24,199.95
  6. Step 6: Final answer
    x = 12,610.00

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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.