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Finding the Fourth Proportional to 38,475.40, 57,705.81 and 13,509.58

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Solution

The fourth proportional to 38,475.40, 57,705.81 and 13,509.58 is: 20,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.40 : 57,705.81 = 13,509.58 : x
  2. Step 2: Convert to fraction form
    38,475.40/57,705.81 = 13,509.58/x
  3. Step 3: Cross multiply
    38,475.40x = 57,705.81 × 13,509.58
  4. Step 4: Simplify right side
    38,475.40x = 779,581,256.66
  5. Step 5: Solve for x
    x = 779,581,256.66/38,475.40
  6. Step 6: Final answer
    x = 20,261.81

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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.