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Finding the Fourth Proportional to 14,009.42, 19,340.91 and 9,300.14

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Solution

The fourth proportional to 14,009.42, 19,340.91 and 9,300.14 is: 12,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.42 : 19,340.91 = 9,300.14 : x
  2. Step 2: Convert to fraction form
    14,009.42/19,340.91 = 9,300.14/x
  3. Step 3: Cross multiply
    14,009.42x = 19,340.91 × 9,300.14
  4. Step 4: Simplify right side
    14,009.42x = 179,873,170.73
  5. Step 5: Solve for x
    x = 179,873,170.73/14,009.42
  6. Step 6: Final answer
    x = 12,839.44

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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.