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Finding the Fourth Proportional to 14,873.98, 22,297.74 and 5,646.46

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Solution

The fourth proportional to 14,873.98, 22,297.74 and 5,646.46 is: 8,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,873.98 : 22,297.74 = 5,646.46 : x
  2. Step 2: Convert to fraction form
    14,873.98/22,297.74 = 5,646.46/x
  3. Step 3: Cross multiply
    14,873.98x = 22,297.74 × 5,646.46
  4. Step 4: Simplify right side
    14,873.98x = 125,903,297.00
  5. Step 5: Solve for x
    x = 125,903,297.00/14,873.98
  6. Step 6: Final answer
    x = 8,464.67

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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.