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Finding the Fourth Proportional to 27,354.64, 37,745.22 and 15,417.76

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Solution

The fourth proportional to 27,354.64, 37,745.22 and 15,417.76 is: 21,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354.64 : 37,745.22 = 15,417.76 : x
  2. Step 2: Convert to fraction form
    27,354.64/37,745.22 = 15,417.76/x
  3. Step 3: Cross multiply
    27,354.64x = 37,745.22 × 15,417.76
  4. Step 4: Simplify right side
    27,354.64x = 581,946,743.11
  5. Step 5: Solve for x
    x = 581,946,743.11/27,354.64
  6. Step 6: Final answer
    x = 21,274.15

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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.