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Finding the Fourth Proportional to 27,697.57, 38,213.64 and 16,367.40

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Solution

The fourth proportional to 27,697.57, 38,213.64 and 16,367.40 is: 22,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.57 : 38,213.64 = 16,367.40 : x
  2. Step 2: Convert to fraction form
    27,697.57/38,213.64 = 16,367.40/x
  3. Step 3: Cross multiply
    27,697.57x = 38,213.64 × 16,367.40
  4. Step 4: Simplify right side
    27,697.57x = 625,457,931.34
  5. Step 5: Solve for x
    x = 625,457,931.34/27,697.57
  6. Step 6: Final answer
    x = 22,581.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.