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Finding the Fourth Proportional to 24,271.67, 36,407.64 and 8,476.62

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Solution

The fourth proportional to 24,271.67, 36,407.64 and 8,476.62 is: 12,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271.67 : 36,407.64 = 8,476.62 : x
  2. Step 2: Convert to fraction form
    24,271.67/36,407.64 = 8,476.62/x
  3. Step 3: Cross multiply
    24,271.67x = 36,407.64 × 8,476.62
  4. Step 4: Simplify right side
    24,271.67x = 308,613,729.38
  5. Step 5: Solve for x
    x = 308,613,729.38/24,271.67
  6. Step 6: Final answer
    x = 12,714.98

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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.