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Finding the Fourth Proportional to 14,123.40, 19,489.46 and 8,074.30

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Solution

The fourth proportional to 14,123.40, 19,489.46 and 8,074.30 is: 11,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.40 : 19,489.46 = 8,074.30 : x
  2. Step 2: Convert to fraction form
    14,123.40/19,489.46 = 8,074.30/x
  3. Step 3: Cross multiply
    14,123.40x = 19,489.46 × 8,074.30
  4. Step 4: Simplify right side
    14,123.40x = 157,363,746.88
  5. Step 5: Solve for x
    x = 157,363,746.88/14,123.40
  6. Step 6: Final answer
    x = 11,142.06

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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.