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Finding the Fourth Proportional to 20,706.32, 31,070.46 and 15,807.44

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Solution

The fourth proportional to 20,706.32, 31,070.46 and 15,807.44 is: 23,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.32 : 31,070.46 = 15,807.44 : x
  2. Step 2: Convert to fraction form
    20,706.32/31,070.46 = 15,807.44/x
  3. Step 3: Cross multiply
    20,706.32x = 31,070.46 × 15,807.44
  4. Step 4: Simplify right side
    20,706.32x = 491,144,432.22
  5. Step 5: Solve for x
    x = 491,144,432.22/20,706.32
  6. Step 6: Final answer
    x = 23,719.54

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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.