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Finding the Fourth Proportional to 38,530.87, 57,798.31 and 12,237.67

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Solution

The fourth proportional to 38,530.87, 57,798.31 and 12,237.67 is: 18,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530.87 : 57,798.31 = 12,237.67 : x
  2. Step 2: Convert to fraction form
    38,530.87/57,798.31 = 12,237.67/x
  3. Step 3: Cross multiply
    38,530.87x = 57,798.31 × 12,237.67
  4. Step 4: Simplify right side
    38,530.87x = 707,316,583.15
  5. Step 5: Solve for x
    x = 707,316,583.15/38,530.87
  6. Step 6: Final answer
    x = 18,357.14

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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.