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Finding the Fourth Proportional to 27,774.63, 38,325.69 and 22,123.80

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Solution

The fourth proportional to 27,774.63, 38,325.69 and 22,123.80 is: 30,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.63 : 38,325.69 = 22,123.80 : x
  2. Step 2: Convert to fraction form
    27,774.63/38,325.69 = 22,123.80/x
  3. Step 3: Cross multiply
    27,774.63x = 38,325.69 × 22,123.80
  4. Step 4: Simplify right side
    27,774.63x = 847,909,900.42
  5. Step 5: Solve for x
    x = 847,909,900.42/27,774.63
  6. Step 6: Final answer
    x = 30,528.22

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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.