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Finding the Fourth Proportional to 16,575.84, 24,863.76 and 6,708.33

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Solution

The fourth proportional to 16,575.84, 24,863.76 and 6,708.33 is: 10,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.84 : 24,863.76 = 6,708.33 : x
  2. Step 2: Convert to fraction form
    16,575.84/24,863.76 = 6,708.33/x
  3. Step 3: Cross multiply
    16,575.84x = 24,863.76 × 6,708.33
  4. Step 4: Simplify right side
    16,575.84x = 166,794,307.12
  5. Step 5: Solve for x
    x = 166,794,307.12/16,575.84
  6. Step 6: Final answer
    x = 10,062.50

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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.