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Finding the Fourth Proportional to 38,401.74, 57,602.43 and 16,209.18

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Solution

The fourth proportional to 38,401.74, 57,602.43 and 16,209.18 is: 24,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,401.74 : 57,602.43 = 16,209.18 : x
  2. Step 2: Convert to fraction form
    38,401.74/57,602.43 = 16,209.18/x
  3. Step 3: Cross multiply
    38,401.74x = 57,602.43 × 16,209.18
  4. Step 4: Simplify right side
    38,401.74x = 933,688,156.31
  5. Step 5: Solve for x
    x = 933,688,156.31/38,401.74
  6. Step 6: Final answer
    x = 24,313.69

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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.