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Finding the Fourth Proportional to 27,790.62, 38,354.76 and 16,459.20

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Solution

The fourth proportional to 27,790.62, 38,354.76 and 16,459.20 is: 22,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.62 : 38,354.76 = 16,459.20 : x
  2. Step 2: Convert to fraction form
    27,790.62/38,354.76 = 16,459.20/x
  3. Step 3: Cross multiply
    27,790.62x = 38,354.76 × 16,459.20
  4. Step 4: Simplify right side
    27,790.62x = 631,288,665.79
  5. Step 5: Solve for x
    x = 631,288,665.79/27,790.62
  6. Step 6: Final answer
    x = 22,715.89

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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.