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Finding the Fourth Proportional to 14,252.98, 19,670.97 and 7,966.66

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Solution

The fourth proportional to 14,252.98, 19,670.97 and 7,966.66 is: 10,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,252.98 : 19,670.97 = 7,966.66 : x
  2. Step 2: Convert to fraction form
    14,252.98/19,670.97 = 7,966.66/x
  3. Step 3: Cross multiply
    14,252.98x = 19,670.97 × 7,966.66
  4. Step 4: Simplify right side
    14,252.98x = 156,711,929.86
  5. Step 5: Solve for x
    x = 156,711,929.86/14,252.98
  6. Step 6: Final answer
    x = 10,995.03

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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.