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Finding the Fourth Proportional to 24,462.51, 36,682.19 and 9,476.64

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Solution

The fourth proportional to 24,462.51, 36,682.19 and 9,476.64 is: 14,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.51 : 36,682.19 = 9,476.64 : x
  2. Step 2: Convert to fraction form
    24,462.51/36,682.19 = 9,476.64/x
  3. Step 3: Cross multiply
    24,462.51x = 36,682.19 × 9,476.64
  4. Step 4: Simplify right side
    24,462.51x = 347,624,024.44
  5. Step 5: Solve for x
    x = 347,624,024.44/24,462.51
  6. Step 6: Final answer
    x = 14,210.48

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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.