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Finding the Fourth Proportional to 13,973.38, 19,286.00 and 8,009.04

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Solution

The fourth proportional to 13,973.38, 19,286.00 and 8,009.04 is: 11,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.38 : 19,286.00 = 8,009.04 : x
  2. Step 2: Convert to fraction form
    13,973.38/19,286.00 = 8,009.04/x
  3. Step 3: Cross multiply
    13,973.38x = 19,286.00 × 8,009.04
  4. Step 4: Simplify right side
    13,973.38x = 154,462,407.75
  5. Step 5: Solve for x
    x = 154,462,407.75/13,973.38
  6. Step 6: Final answer
    x = 11,054.05

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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.