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Finding the Fourth Proportional to 24,652.11, 36,980.21 and 8,011.77

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Solution

The fourth proportional to 24,652.11, 36,980.21 and 8,011.77 is: 12,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.11 : 36,980.21 = 8,011.77 : x
  2. Step 2: Convert to fraction form
    24,652.11/36,980.21 = 8,011.77/x
  3. Step 3: Cross multiply
    24,652.11x = 36,980.21 × 8,011.77
  4. Step 4: Simplify right side
    24,652.11x = 296,276,937.07
  5. Step 5: Solve for x
    x = 296,276,937.07/24,652.11
  6. Step 6: Final answer
    x = 12,018.32

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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.