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Finding the Fourth Proportional to 14,593.14, 21,897 and 5,835.42

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Solution

The fourth proportional to 14,593.14, 21,897 and 5,835.42 is: 8,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.14 : 21,897 = 5,835.42 : x
  2. Step 2: Convert to fraction form
    14,593.14/21,897 = 5,835.42/x
  3. Step 3: Cross multiply
    14,593.14x = 21,897 × 5,835.42
  4. Step 4: Simplify right side
    14,593.14x = 127,778,191.74
  5. Step 5: Solve for x
    x = 127,778,191.74/14,593.14
  6. Step 6: Final answer
    x = 8,756.05

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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.