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Finding the Fourth Proportional to 14,129.30, 21,194.19 and 6,123.38

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Solution

The fourth proportional to 14,129.30, 21,194.19 and 6,123.38 is: 9,185.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.30 : 21,194.19 = 6,123.38 : x
  2. Step 2: Convert to fraction form
    14,129.30/21,194.19 = 6,123.38/x
  3. Step 3: Cross multiply
    14,129.30x = 21,194.19 × 6,123.38
  4. Step 4: Simplify right side
    14,129.30x = 129,780,079.16
  5. Step 5: Solve for x
    x = 129,780,079.16/14,129.30
  6. Step 6: Final answer
    x = 9,185.17

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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.