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Finding the Fourth Proportional to 16,652.23, 24,978.68 and 6,784.67

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Solution

The fourth proportional to 16,652.23, 24,978.68 and 6,784.67 is: 10,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,652.23 : 24,978.68 = 6,784.67 : x
  2. Step 2: Convert to fraction form
    16,652.23/24,978.68 = 6,784.67/x
  3. Step 3: Cross multiply
    16,652.23x = 24,978.68 × 6,784.67
  4. Step 4: Simplify right side
    16,652.23x = 169,472,100.84
  5. Step 5: Solve for x
    x = 169,472,100.84/16,652.23
  6. Step 6: Final answer
    x = 10,177.14

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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.