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Finding the Fourth Proportional to 19,818.06, 29,731.47 and 6,670

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Solution

The fourth proportional to 19,818.06, 29,731.47 and 6,670 is: 10,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.06 : 29,731.47 = 6,670 : x
  2. Step 2: Convert to fraction form
    19,818.06/29,731.47 = 6,670/x
  3. Step 3: Cross multiply
    19,818.06x = 29,731.47 × 6,670
  4. Step 4: Simplify right side
    19,818.06x = 198,308,904.90
  5. Step 5: Solve for x
    x = 198,308,904.90/19,818.06
  6. Step 6: Final answer
    x = 10,006.47

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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.