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Finding the Fourth Proportional to 14,654, 20,222.64 and 8,030

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Solution

The fourth proportional to 14,654, 20,222.64 and 8,030 is: 11,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654 : 20,222.64 = 8,030 : x
  2. Step 2: Convert to fraction form
    14,654/20,222.64 = 8,030/x
  3. Step 3: Cross multiply
    14,654x = 20,222.64 × 8,030
  4. Step 4: Simplify right side
    14,654x = 162,387,799.20
  5. Step 5: Solve for x
    x = 162,387,799.20/14,654
  6. Step 6: Final answer
    x = 11,081.47

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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.