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Finding the Fourth Proportional to 14,594.78, 21,897.34 and 7,204.43

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Solution

The fourth proportional to 14,594.78, 21,897.34 and 7,204.43 is: 10,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.78 : 21,897.34 = 7,204.43 : x
  2. Step 2: Convert to fraction form
    14,594.78/21,897.34 = 7,204.43/x
  3. Step 3: Cross multiply
    14,594.78x = 21,897.34 × 7,204.43
  4. Step 4: Simplify right side
    14,594.78x = 157,757,853.22
  5. Step 5: Solve for x
    x = 157,757,853.22/14,594.78
  6. Step 6: Final answer
    x = 10,809.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.