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Finding the Fourth Proportional to 14,234.01, 19,642.14 and 7,946.79

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Solution

The fourth proportional to 14,234.01, 19,642.14 and 7,946.79 is: 10,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.01 : 19,642.14 = 7,946.79 : x
  2. Step 2: Convert to fraction form
    14,234.01/19,642.14 = 7,946.79/x
  3. Step 3: Cross multiply
    14,234.01x = 19,642.14 × 7,946.79
  4. Step 4: Simplify right side
    14,234.01x = 156,091,961.73
  5. Step 5: Solve for x
    x = 156,091,961.73/14,234.01
  6. Step 6: Final answer
    x = 10,966.13

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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.