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Finding the Fourth Proportional to 14,161.76, 21,216 and 8,300.96

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Solution

The fourth proportional to 14,161.76, 21,216 and 8,300.96 is: 12,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.76 : 21,216 = 8,300.96 : x
  2. Step 2: Convert to fraction form
    14,161.76/21,216 = 8,300.96/x
  3. Step 3: Cross multiply
    14,161.76x = 21,216 × 8,300.96
  4. Step 4: Simplify right side
    14,161.76x = 176,113,167.36
  5. Step 5: Solve for x
    x = 176,113,167.36/14,161.76
  6. Step 6: Final answer
    x = 12,435.82

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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.