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Finding the Fourth Proportional to 16,062.64, 24,080.09 and 7,731.19

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Solution

The fourth proportional to 16,062.64, 24,080.09 and 7,731.19 is: 11,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.64 : 24,080.09 = 7,731.19 : x
  2. Step 2: Convert to fraction form
    16,062.64/24,080.09 = 7,731.19/x
  3. Step 3: Cross multiply
    16,062.64x = 24,080.09 × 7,731.19
  4. Step 4: Simplify right side
    16,062.64x = 186,167,751.01
  5. Step 5: Solve for x
    x = 186,167,751.01/16,062.64
  6. Step 6: Final answer
    x = 11,590.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.