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Finding the Fourth Proportional to 14,027.04, 19,357.20 and 7,739.46

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Solution

The fourth proportional to 14,027.04, 19,357.20 and 7,739.46 is: 10,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.04 : 19,357.20 = 7,739.46 : x
  2. Step 2: Convert to fraction form
    14,027.04/19,357.20 = 7,739.46/x
  3. Step 3: Cross multiply
    14,027.04x = 19,357.20 × 7,739.46
  4. Step 4: Simplify right side
    14,027.04x = 149,814,275.11
  5. Step 5: Solve for x
    x = 149,814,275.11/14,027.04
  6. Step 6: Final answer
    x = 10,680.39

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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.