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Finding the Fourth Proportional to 38,438.40, 57,646.80 and 12,151.20

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Solution

The fourth proportional to 38,438.40, 57,646.80 and 12,151.20 is: 18,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.40 : 57,646.80 = 12,151.20 : x
  2. Step 2: Convert to fraction form
    38,438.40/57,646.80 = 12,151.20/x
  3. Step 3: Cross multiply
    38,438.40x = 57,646.80 × 12,151.20
  4. Step 4: Simplify right side
    38,438.40x = 700,477,796.16
  5. Step 5: Solve for x
    x = 700,477,796.16/38,438.40
  6. Step 6: Final answer
    x = 18,223.39

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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.