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Finding the Fourth Proportional to 24,709.95, 37,068.47 and 8,065.88

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Solution

The fourth proportional to 24,709.95, 37,068.47 and 8,065.88 is: 12,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.95 : 37,068.47 = 8,065.88 : x
  2. Step 2: Convert to fraction form
    24,709.95/37,068.47 = 8,065.88/x
  3. Step 3: Cross multiply
    24,709.95x = 37,068.47 × 8,065.88
  4. Step 4: Simplify right side
    24,709.95x = 298,989,605.13
  5. Step 5: Solve for x
    x = 298,989,605.13/24,709.95
  6. Step 6: Final answer
    x = 12,099.97

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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.