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Finding the Fourth Proportional to 14,801.38, 20,424.93 and 8,428.63

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Solution

The fourth proportional to 14,801.38, 20,424.93 and 8,428.63 is: 11,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.38 : 20,424.93 = 8,428.63 : x
  2. Step 2: Convert to fraction form
    14,801.38/20,424.93 = 8,428.63/x
  3. Step 3: Cross multiply
    14,801.38x = 20,424.93 × 8,428.63
  4. Step 4: Simplify right side
    14,801.38x = 172,154,054.55
  5. Step 5: Solve for x
    x = 172,154,054.55/14,801.38
  6. Step 6: Final answer
    x = 11,630.94

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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.