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Finding the Fourth Proportional to 14,753.40, 22,134.19 and 6,434.14

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Solution

The fourth proportional to 14,753.40, 22,134.19 and 6,434.14 is: 9,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.40 : 22,134.19 = 6,434.14 : x
  2. Step 2: Convert to fraction form
    14,753.40/22,134.19 = 6,434.14/x
  3. Step 3: Cross multiply
    14,753.40x = 22,134.19 × 6,434.14
  4. Step 4: Simplify right side
    14,753.40x = 142,414,477.25
  5. Step 5: Solve for x
    x = 142,414,477.25/14,753.40
  6. Step 6: Final answer
    x = 9,652.99

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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.