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Finding the Fourth Proportional to 16,264.92, 24,393.78 and 4,575

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Solution

The fourth proportional to 16,264.92, 24,393.78 and 4,575 is: 6,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.92 : 24,393.78 = 4,575 : x
  2. Step 2: Convert to fraction form
    16,264.92/24,393.78 = 4,575/x
  3. Step 3: Cross multiply
    16,264.92x = 24,393.78 × 4,575
  4. Step 4: Simplify right side
    16,264.92x = 111,601,543.50
  5. Step 5: Solve for x
    x = 111,601,543.50/16,264.92
  6. Step 6: Final answer
    x = 6,861.49

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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.