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Finding the Fourth Proportional to 14,275.63, 19,698.19 and 8,143.39

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Solution

The fourth proportional to 14,275.63, 19,698.19 and 8,143.39 is: 11,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.63 : 19,698.19 = 8,143.39 : x
  2. Step 2: Convert to fraction form
    14,275.63/19,698.19 = 8,143.39/x
  3. Step 3: Cross multiply
    14,275.63x = 19,698.19 × 8,143.39
  4. Step 4: Simplify right side
    14,275.63x = 160,410,043.46
  5. Step 5: Solve for x
    x = 160,410,043.46/14,275.63
  6. Step 6: Final answer
    x = 11,236.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.