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Finding the Fourth Proportional to 13,995.38, 19,293.49 and 10,009.58

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Solution

The fourth proportional to 13,995.38, 19,293.49 and 10,009.58 is: 13,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.38 : 19,293.49 = 10,009.58 : x
  2. Step 2: Convert to fraction form
    13,995.38/19,293.49 = 10,009.58/x
  3. Step 3: Cross multiply
    13,995.38x = 19,293.49 × 10,009.58
  4. Step 4: Simplify right side
    13,995.38x = 193,119,647.68
  5. Step 5: Solve for x
    x = 193,119,647.68/13,995.38
  6. Step 6: Final answer
    x = 13,798.81

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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.