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Finding the Fourth Proportional to 24,698.42, 37,051.20 and 8,054.34

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Solution

The fourth proportional to 24,698.42, 37,051.20 and 8,054.34 is: 12,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.42 : 37,051.20 = 8,054.34 : x
  2. Step 2: Convert to fraction form
    24,698.42/37,051.20 = 8,054.34/x
  3. Step 3: Cross multiply
    24,698.42x = 37,051.20 × 8,054.34
  4. Step 4: Simplify right side
    24,698.42x = 298,422,962.21
  5. Step 5: Solve for x
    x = 298,422,962.21/24,698.42
  6. Step 6: Final answer
    x = 12,082.67

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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.