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Finding the Fourth Proportional to 24,198.55, 36,297.72 and 9,417.77

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Solution

The fourth proportional to 24,198.55, 36,297.72 and 9,417.77 is: 14,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.55 : 36,297.72 = 9,417.77 : x
  2. Step 2: Convert to fraction form
    24,198.55/36,297.72 = 9,417.77/x
  3. Step 3: Cross multiply
    24,198.55x = 36,297.72 × 9,417.77
  4. Step 4: Simplify right side
    24,198.55x = 341,843,533.11
  5. Step 5: Solve for x
    x = 341,843,533.11/24,198.55
  6. Step 6: Final answer
    x = 14,126.61

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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.