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Finding the Fourth Proportional to 24,348.26, 36,523.68 and 7,710.06

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Solution

The fourth proportional to 24,348.26, 36,523.68 and 7,710.06 is: 11,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.26 : 36,523.68 = 7,710.06 : x
  2. Step 2: Convert to fraction form
    24,348.26/36,523.68 = 7,710.06/x
  3. Step 3: Cross multiply
    24,348.26x = 36,523.68 × 7,710.06
  4. Step 4: Simplify right side
    24,348.26x = 281,599,764.22
  5. Step 5: Solve for x
    x = 281,599,764.22/24,348.26
  6. Step 6: Final answer
    x = 11,565.50

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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.