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Finding the Fourth Proportional to 14,764.68, 22,114.08 and 6,957

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Solution

The fourth proportional to 14,764.68, 22,114.08 and 6,957 is: 10,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.68 : 22,114.08 = 6,957 : x
  2. Step 2: Convert to fraction form
    14,764.68/22,114.08 = 6,957/x
  3. Step 3: Cross multiply
    14,764.68x = 22,114.08 × 6,957
  4. Step 4: Simplify right side
    14,764.68x = 153,847,654.56
  5. Step 5: Solve for x
    x = 153,847,654.56/14,764.68
  6. Step 6: Final answer
    x = 10,419.98

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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.