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Finding the Fourth Proportional to 24,705.16, 37,057.74 and 8,300.68

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Solution

The fourth proportional to 24,705.16, 37,057.74 and 8,300.68 is: 12,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.16 : 37,057.74 = 8,300.68 : x
  2. Step 2: Convert to fraction form
    24,705.16/37,057.74 = 8,300.68/x
  3. Step 3: Cross multiply
    24,705.16x = 37,057.74 × 8,300.68
  4. Step 4: Simplify right side
    24,705.16x = 307,604,441.26
  5. Step 5: Solve for x
    x = 307,604,441.26/24,705.16
  6. Step 6: Final answer
    x = 12,451.02

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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.