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Finding the Fourth Proportional to 24,830.16, 34,267.72 and 13,654.48

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Solution

The fourth proportional to 24,830.16, 34,267.72 and 13,654.48 is: 18,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.16 : 34,267.72 = 13,654.48 : x
  2. Step 2: Convert to fraction form
    24,830.16/34,267.72 = 13,654.48/x
  3. Step 3: Cross multiply
    24,830.16x = 34,267.72 × 13,654.48
  4. Step 4: Simplify right side
    24,830.16x = 467,907,897.39
  5. Step 5: Solve for x
    x = 467,907,897.39/24,830.16
  6. Step 6: Final answer
    x = 18,844.34

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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.