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Finding the Fourth Proportional to 14,123.54, 19,490.84 and 7,750.40

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Solution

The fourth proportional to 14,123.54, 19,490.84 and 7,750.40 is: 10,695.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.54 : 19,490.84 = 7,750.40 : x
  2. Step 2: Convert to fraction form
    14,123.54/19,490.84 = 7,750.40/x
  3. Step 3: Cross multiply
    14,123.54x = 19,490.84 × 7,750.40
  4. Step 4: Simplify right side
    14,123.54x = 151,061,874.44
  5. Step 5: Solve for x
    x = 151,061,874.44/14,123.54
  6. Step 6: Final answer
    x = 10,695.76

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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.