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Finding the Fourth Proportional to 14,593.68, 21,897 and 7,666.56

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Solution

The fourth proportional to 14,593.68, 21,897 and 7,666.56 is: 11,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.68 : 21,897 = 7,666.56 : x
  2. Step 2: Convert to fraction form
    14,593.68/21,897 = 7,666.56/x
  3. Step 3: Cross multiply
    14,593.68x = 21,897 × 7,666.56
  4. Step 4: Simplify right side
    14,593.68x = 167,874,664.32
  5. Step 5: Solve for x
    x = 167,874,664.32/14,593.68
  6. Step 6: Final answer
    x = 11,503.24

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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.