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Finding the Fourth Proportional to 38,457.66, 57,691.48 and 13,495.88

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Solution

The fourth proportional to 38,457.66, 57,691.48 and 13,495.88 is: 20,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.66 : 57,691.48 = 13,495.88 : x
  2. Step 2: Convert to fraction form
    38,457.66/57,691.48 = 13,495.88/x
  3. Step 3: Cross multiply
    38,457.66x = 57,691.48 × 13,495.88
  4. Step 4: Simplify right side
    38,457.66x = 778,597,291.10
  5. Step 5: Solve for x
    x = 778,597,291.10/38,457.66
  6. Step 6: Final answer
    x = 20,245.57

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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.