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Finding the Fourth Proportional to 19,711.46, 29,541.52 and 8,011

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Solution

The fourth proportional to 19,711.46, 29,541.52 and 8,011 is: 12,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.46 : 29,541.52 = 8,011 : x
  2. Step 2: Convert to fraction form
    19,711.46/29,541.52 = 8,011/x
  3. Step 3: Cross multiply
    19,711.46x = 29,541.52 × 8,011
  4. Step 4: Simplify right side
    19,711.46x = 236,657,116.72
  5. Step 5: Solve for x
    x = 236,657,116.72/19,711.46
  6. Step 6: Final answer
    x = 12,006.07

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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.