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Finding the Fourth Proportional to 12,994.53, 19,499.07 and 5,203.95

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Solution

The fourth proportional to 12,994.53, 19,499.07 and 5,203.95 is: 7,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.53 : 19,499.07 = 5,203.95 : x
  2. Step 2: Convert to fraction form
    12,994.53/19,499.07 = 5,203.95/x
  3. Step 3: Cross multiply
    12,994.53x = 19,499.07 × 5,203.95
  4. Step 4: Simplify right side
    12,994.53x = 101,472,185.33
  5. Step 5: Solve for x
    x = 101,472,185.33/12,994.53
  6. Step 6: Final answer
    x = 7,808.84

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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.