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Finding the Fourth Proportional to 24,392.24, 36,596.05 and 8,596.63

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Solution

The fourth proportional to 24,392.24, 36,596.05 and 8,596.63 is: 12,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.24 : 36,596.05 = 8,596.63 : x
  2. Step 2: Convert to fraction form
    24,392.24/36,596.05 = 8,596.63/x
  3. Step 3: Cross multiply
    24,392.24x = 36,596.05 × 8,596.63
  4. Step 4: Simplify right side
    24,392.24x = 314,602,725.56
  5. Step 5: Solve for x
    x = 314,602,725.56/24,392.24
  6. Step 6: Final answer
    x = 12,897.66

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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.