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Finding the Fourth Proportional to 24,090.96, 36,136.71 and 8,497.65

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Solution

The fourth proportional to 24,090.96, 36,136.71 and 8,497.65 is: 12,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,090.96 : 36,136.71 = 8,497.65 : x
  2. Step 2: Convert to fraction form
    24,090.96/36,136.71 = 8,497.65/x
  3. Step 3: Cross multiply
    24,090.96x = 36,136.71 × 8,497.65
  4. Step 4: Simplify right side
    24,090.96x = 307,077,113.73
  5. Step 5: Solve for x
    x = 307,077,113.73/24,090.96
  6. Step 6: Final answer
    x = 12,746.57

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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.