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Finding the Fourth Proportional to 12,470.39, 17,203.71 and 8,216.00

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Solution

The fourth proportional to 12,470.39, 17,203.71 and 8,216.00 is: 11,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.39 : 17,203.71 = 8,216.00 : x
  2. Step 2: Convert to fraction form
    12,470.39/17,203.71 = 8,216.00/x
  3. Step 3: Cross multiply
    12,470.39x = 17,203.71 × 8,216.00
  4. Step 4: Simplify right side
    12,470.39x = 141,345,595.34
  5. Step 5: Solve for x
    x = 141,345,595.34/12,470.39
  6. Step 6: Final answer
    x = 11,334.49

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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.