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Finding the Fourth Proportional to 22,259.36, 30,738.74 and 14,315.38

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Solution

The fourth proportional to 22,259.36, 30,738.74 and 14,315.38 is: 19,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,259.36 : 30,738.74 = 14,315.38 : x
  2. Step 2: Convert to fraction form
    22,259.36/30,738.74 = 14,315.38/x
  3. Step 3: Cross multiply
    22,259.36x = 30,738.74 × 14,315.38
  4. Step 4: Simplify right side
    22,259.36x = 440,036,595.40
  5. Step 5: Solve for x
    x = 440,036,595.40/22,259.36
  6. Step 6: Final answer
    x = 19,768.61

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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.