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Finding the Fourth Proportional to 14,234.14, 19,643.12 and 7,946.50

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Solution

The fourth proportional to 14,234.14, 19,643.12 and 7,946.50 is: 10,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.14 : 19,643.12 = 7,946.50 : x
  2. Step 2: Convert to fraction form
    14,234.14/19,643.12 = 7,946.50/x
  3. Step 3: Cross multiply
    14,234.14x = 19,643.12 × 7,946.50
  4. Step 4: Simplify right side
    14,234.14x = 156,094,053.08
  5. Step 5: Solve for x
    x = 156,094,053.08/14,234.14
  6. Step 6: Final answer
    x = 10,966.17

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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.