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Finding the Fourth Proportional to 23,775.41, 32,807.76 and 14,213.40

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Solution

The fourth proportional to 23,775.41, 32,807.76 and 14,213.40 is: 19,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.41 : 32,807.76 = 14,213.40 : x
  2. Step 2: Convert to fraction form
    23,775.41/32,807.76 = 14,213.40/x
  3. Step 3: Cross multiply
    23,775.41x = 32,807.76 × 14,213.40
  4. Step 4: Simplify right side
    23,775.41x = 466,309,815.98
  5. Step 5: Solve for x
    x = 466,309,815.98/23,775.41
  6. Step 6: Final answer
    x = 19,613.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.