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Finding the Fourth Proportional to 16,199.10, 24,298.64 and 12,506.72

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Solution

The fourth proportional to 16,199.10, 24,298.64 and 12,506.72 is: 18,760.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.10 : 24,298.64 = 12,506.72 : x
  2. Step 2: Convert to fraction form
    16,199.10/24,298.64 = 12,506.72/x
  3. Step 3: Cross multiply
    16,199.10x = 24,298.64 × 12,506.72
  4. Step 4: Simplify right side
    16,199.10x = 303,896,286.86
  5. Step 5: Solve for x
    x = 303,896,286.86/16,199.10
  6. Step 6: Final answer
    x = 18,760.07

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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.