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Finding the Fourth Proportional to 38,417.40, 57,626.10 and 16,223.40

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Solution

The fourth proportional to 38,417.40, 57,626.10 and 16,223.40 is: 24,335.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.40 : 57,626.10 = 16,223.40 : x
  2. Step 2: Convert to fraction form
    38,417.40/57,626.10 = 16,223.40/x
  3. Step 3: Cross multiply
    38,417.40x = 57,626.10 × 16,223.40
  4. Step 4: Simplify right side
    38,417.40x = 934,891,270.74
  5. Step 5: Solve for x
    x = 934,891,270.74/38,417.40
  6. Step 6: Final answer
    x = 24,335.10

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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.