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Finding the Fourth Proportional to 24,601.90, 36,904.66 and 7,071.88

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Solution

The fourth proportional to 24,601.90, 36,904.66 and 7,071.88 is: 10,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,601.90 : 36,904.66 = 7,071.88 : x
  2. Step 2: Convert to fraction form
    24,601.90/36,904.66 = 7,071.88/x
  3. Step 3: Cross multiply
    24,601.90x = 36,904.66 × 7,071.88
  4. Step 4: Simplify right side
    24,601.90x = 260,985,326.96
  5. Step 5: Solve for x
    x = 260,985,326.96/24,601.90
  6. Step 6: Final answer
    x = 10,608.34

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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.