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Finding the Fourth Proportional to 16,186.24, 24,275.04 and 4,500.10

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Solution

The fourth proportional to 16,186.24, 24,275.04 and 4,500.10 is: 6,748.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.24 : 24,275.04 = 4,500.10 : x
  2. Step 2: Convert to fraction form
    16,186.24/24,275.04 = 4,500.10/x
  3. Step 3: Cross multiply
    16,186.24x = 24,275.04 × 4,500.10
  4. Step 4: Simplify right side
    16,186.24x = 109,240,107.50
  5. Step 5: Solve for x
    x = 109,240,107.50/16,186.24
  6. Step 6: Final answer
    x = 6,748.95

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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.