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Finding the Fourth Proportional to 16,509.96, 24,767.10 and 8,719.08

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Solution

The fourth proportional to 16,509.96, 24,767.10 and 8,719.08 is: 13,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.96 : 24,767.10 = 8,719.08 : x
  2. Step 2: Convert to fraction form
    16,509.96/24,767.10 = 8,719.08/x
  3. Step 3: Cross multiply
    16,509.96x = 24,767.10 × 8,719.08
  4. Step 4: Simplify right side
    16,509.96x = 215,946,326.27
  5. Step 5: Solve for x
    x = 215,946,326.27/16,509.96
  6. Step 6: Final answer
    x = 13,079.76

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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.