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Finding the Fourth Proportional to 26,977.32, 40,484.16 and 9,447.30

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Solution

The fourth proportional to 26,977.32, 40,484.16 and 9,447.30 is: 14,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.32 : 40,484.16 = 9,447.30 : x
  2. Step 2: Convert to fraction form
    26,977.32/40,484.16 = 9,447.30/x
  3. Step 3: Cross multiply
    26,977.32x = 40,484.16 × 9,447.30
  4. Step 4: Simplify right side
    26,977.32x = 382,466,004.77
  5. Step 5: Solve for x
    x = 382,466,004.77/26,977.32
  6. Step 6: Final answer
    x = 14,177.32

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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.