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Finding the Fourth Proportional to 14,234.09, 19,643.04 and 7,946.46

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Solution

The fourth proportional to 14,234.09, 19,643.04 and 7,946.46 is: 10,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.09 : 19,643.04 = 7,946.46 : x
  2. Step 2: Convert to fraction form
    14,234.09/19,643.04 = 7,946.46/x
  3. Step 3: Cross multiply
    14,234.09x = 19,643.04 × 7,946.46
  4. Step 4: Simplify right side
    14,234.09x = 156,092,631.64
  5. Step 5: Solve for x
    x = 156,092,631.64/14,234.09
  6. Step 6: Final answer
    x = 10,966.12

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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.