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Finding the Fourth Proportional to 17,977.70, 24,820.77 and 11,607.15

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Solution

The fourth proportional to 17,977.70, 24,820.77 and 11,607.15 is: 16,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.70 : 24,820.77 = 11,607.15 : x
  2. Step 2: Convert to fraction form
    17,977.70/24,820.77 = 11,607.15/x
  3. Step 3: Cross multiply
    17,977.70x = 24,820.77 × 11,607.15
  4. Step 4: Simplify right side
    17,977.70x = 288,098,400.51
  5. Step 5: Solve for x
    x = 288,098,400.51/17,977.70
  6. Step 6: Final answer
    x = 16,025.32

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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.