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Finding the Fourth Proportional to 14,753.10, 22,116.69 and 6,971.34

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Solution

The fourth proportional to 14,753.10, 22,116.69 and 6,971.34 is: 10,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.10 : 22,116.69 = 6,971.34 : x
  2. Step 2: Convert to fraction form
    14,753.10/22,116.69 = 6,971.34/x
  3. Step 3: Cross multiply
    14,753.10x = 22,116.69 × 6,971.34
  4. Step 4: Simplify right side
    14,753.10x = 154,182,965.66
  5. Step 5: Solve for x
    x = 154,182,965.66/14,753.10
  6. Step 6: Final answer
    x = 10,450.89

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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.