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Finding the Fourth Proportional to 38,423.24, 57,627.60 and 13,124

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Solution

The fourth proportional to 38,423.24, 57,627.60 and 13,124 is: 19,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.24 : 57,627.60 = 13,124 : x
  2. Step 2: Convert to fraction form
    38,423.24/57,627.60 = 13,124/x
  3. Step 3: Cross multiply
    38,423.24x = 57,627.60 × 13,124
  4. Step 4: Simplify right side
    38,423.24x = 756,304,622.40
  5. Step 5: Solve for x
    x = 756,304,622.40/38,423.24
  6. Step 6: Final answer
    x = 19,683.52

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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.