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Finding the Fourth Proportional to 38,457.68, 57,665.88 and 11,798.96

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Solution

The fourth proportional to 38,457.68, 57,665.88 and 11,798.96 is: 17,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.68 : 57,665.88 = 11,798.96 : x
  2. Step 2: Convert to fraction form
    38,457.68/57,665.88 = 11,798.96/x
  3. Step 3: Cross multiply
    38,457.68x = 57,665.88 × 11,798.96
  4. Step 4: Simplify right side
    38,457.68x = 680,397,411.48
  5. Step 5: Solve for x
    x = 680,397,411.48/38,457.68
  6. Step 6: Final answer
    x = 17,692.11

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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.