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Finding the Fourth Proportional to 12,504.76, 17,248.44 and 8,021.40

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Solution

The fourth proportional to 12,504.76, 17,248.44 and 8,021.40 is: 11,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.76 : 17,248.44 = 8,021.40 : x
  2. Step 2: Convert to fraction form
    12,504.76/17,248.44 = 8,021.40/x
  3. Step 3: Cross multiply
    12,504.76x = 17,248.44 × 8,021.40
  4. Step 4: Simplify right side
    12,504.76x = 138,356,636.62
  5. Step 5: Solve for x
    x = 138,356,636.62/12,504.76
  6. Step 6: Final answer
    x = 11,064.32

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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.