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Finding the Fourth Proportional to 16,245, 24,368.46 and 5,301

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Solution

The fourth proportional to 16,245, 24,368.46 and 5,301 is: 7,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245 : 24,368.46 = 5,301 : x
  2. Step 2: Convert to fraction form
    16,245/24,368.46 = 5,301/x
  3. Step 3: Cross multiply
    16,245x = 24,368.46 × 5,301
  4. Step 4: Simplify right side
    16,245x = 129,177,206.46
  5. Step 5: Solve for x
    x = 129,177,206.46/16,245
  6. Step 6: Final answer
    x = 7,951.81

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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.