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Finding the Fourth Proportional to 38,477.90, 57,709.56 and 13,512.08

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Solution

The fourth proportional to 38,477.90, 57,709.56 and 13,512.08 is: 20,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.90 : 57,709.56 = 13,512.08 : x
  2. Step 2: Convert to fraction form
    38,477.90/57,709.56 = 13,512.08/x
  3. Step 3: Cross multiply
    38,477.90x = 57,709.56 × 13,512.08
  4. Step 4: Simplify right side
    38,477.90x = 779,776,191.48
  5. Step 5: Solve for x
    x = 779,776,191.48/38,477.90
  6. Step 6: Final answer
    x = 20,265.56

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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.