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Finding the Fourth Proportional to 14,524.56, 21,788.12 and 5,639.67

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Solution

The fourth proportional to 14,524.56, 21,788.12 and 5,639.67 is: 8,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.56 : 21,788.12 = 5,639.67 : x
  2. Step 2: Convert to fraction form
    14,524.56/21,788.12 = 5,639.67/x
  3. Step 3: Cross multiply
    14,524.56x = 21,788.12 × 5,639.67
  4. Step 4: Simplify right side
    14,524.56x = 122,877,820.82
  5. Step 5: Solve for x
    x = 122,877,820.82/14,524.56
  6. Step 6: Final answer
    x = 8,460.00

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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.