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Finding the Fourth Proportional to 24,575.25, 36,864.26 and 7,044.63

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Solution

The fourth proportional to 24,575.25, 36,864.26 and 7,044.63 is: 10,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.25 : 36,864.26 = 7,044.63 : x
  2. Step 2: Convert to fraction form
    24,575.25/36,864.26 = 7,044.63/x
  3. Step 3: Cross multiply
    24,575.25x = 36,864.26 × 7,044.63
  4. Step 4: Simplify right side
    24,575.25x = 259,695,071.92
  5. Step 5: Solve for x
    x = 259,695,071.92/24,575.25
  6. Step 6: Final answer
    x = 10,567.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.