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Finding the Fourth Proportional to 16,131.50, 24,196.16 and 4,444.82

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Solution

The fourth proportional to 16,131.50, 24,196.16 and 4,444.82 is: 6,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131.50 : 24,196.16 = 4,444.82 : x
  2. Step 2: Convert to fraction form
    16,131.50/24,196.16 = 4,444.82/x
  3. Step 3: Cross multiply
    16,131.50x = 24,196.16 × 4,444.82
  4. Step 4: Simplify right side
    16,131.50x = 107,547,575.89
  5. Step 5: Solve for x
    x = 107,547,575.89/16,131.50
  6. Step 6: Final answer
    x = 6,666.93

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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.