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Finding the Fourth Proportional to 14,400.34, 19,870.06 and 8,025.54

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Solution

The fourth proportional to 14,400.34, 19,870.06 and 8,025.54 is: 11,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.34 : 19,870.06 = 8,025.54 : x
  2. Step 2: Convert to fraction form
    14,400.34/19,870.06 = 8,025.54/x
  3. Step 3: Cross multiply
    14,400.34x = 19,870.06 × 8,025.54
  4. Step 4: Simplify right side
    14,400.34x = 159,467,821.85
  5. Step 5: Solve for x
    x = 159,467,821.85/14,400.34
  6. Step 6: Final answer
    x = 11,073.90

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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.