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Finding the Fourth Proportional to 16,600.02, 24,900 and 7,710.48

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Solution

The fourth proportional to 16,600.02, 24,900 and 7,710.48 is: 11,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.02 : 24,900 = 7,710.48 : x
  2. Step 2: Convert to fraction form
    16,600.02/24,900 = 7,710.48/x
  3. Step 3: Cross multiply
    16,600.02x = 24,900 × 7,710.48
  4. Step 4: Simplify right side
    16,600.02x = 191,990,952
  5. Step 5: Solve for x
    x = 191,990,952/16,600.02
  6. Step 6: Final answer
    x = 11,565.71

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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.