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Finding the Fourth Proportional to 24,848.50, 34,302.36 and 15,422.62

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Solution

The fourth proportional to 24,848.50, 34,302.36 and 15,422.62 is: 21,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.50 : 34,302.36 = 15,422.62 : x
  2. Step 2: Convert to fraction form
    24,848.50/34,302.36 = 15,422.62/x
  3. Step 3: Cross multiply
    24,848.50x = 34,302.36 × 15,422.62
  4. Step 4: Simplify right side
    24,848.50x = 529,032,263.38
  5. Step 5: Solve for x
    x = 529,032,263.38/24,848.50
  6. Step 6: Final answer
    x = 21,290.31

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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.