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Finding the Fourth Proportional to 38,561.42, 57,829.75 and 12,260.01

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Solution

The fourth proportional to 38,561.42, 57,829.75 and 12,260.01 is: 18,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,561.42 : 57,829.75 = 12,260.01 : x
  2. Step 2: Convert to fraction form
    38,561.42/57,829.75 = 12,260.01/x
  3. Step 3: Cross multiply
    38,561.42x = 57,829.75 × 12,260.01
  4. Step 4: Simplify right side
    38,561.42x = 708,993,174.22
  5. Step 5: Solve for x
    x = 708,993,174.22/38,561.42
  6. Step 6: Final answer
    x = 18,386.08

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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.