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Finding the Fourth Proportional to 28,306.25, 42,457.99 and 8,314.91

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Solution

The fourth proportional to 28,306.25, 42,457.99 and 8,314.91 is: 12,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,306.25 : 42,457.99 = 8,314.91 : x
  2. Step 2: Convert to fraction form
    28,306.25/42,457.99 = 8,314.91/x
  3. Step 3: Cross multiply
    28,306.25x = 42,457.99 × 8,314.91
  4. Step 4: Simplify right side
    28,306.25x = 353,034,365.63
  5. Step 5: Solve for x
    x = 353,034,365.63/28,306.25
  6. Step 6: Final answer
    x = 12,471.96

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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.