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Finding the Fourth Proportional to 16,213.66, 24,296.18 and 12,510.34

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Solution

The fourth proportional to 16,213.66, 24,296.18 and 12,510.34 is: 18,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.66 : 24,296.18 = 12,510.34 : x
  2. Step 2: Convert to fraction form
    16,213.66/24,296.18 = 12,510.34/x
  3. Step 3: Cross multiply
    16,213.66x = 24,296.18 × 12,510.34
  4. Step 4: Simplify right side
    16,213.66x = 303,953,472.50
  5. Step 5: Solve for x
    x = 303,953,472.50/16,213.66
  6. Step 6: Final answer
    x = 18,746.75

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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.