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Finding the Fourth Proportional to 16,191.81, 24,244.47 and 9,522.74

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Solution

The fourth proportional to 16,191.81, 24,244.47 and 9,522.74 is: 14,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.81 : 24,244.47 = 9,522.74 : x
  2. Step 2: Convert to fraction form
    16,191.81/24,244.47 = 9,522.74/x
  3. Step 3: Cross multiply
    16,191.81x = 24,244.47 × 9,522.74
  4. Step 4: Simplify right side
    16,191.81x = 230,873,663.03
  5. Step 5: Solve for x
    x = 230,873,663.03/16,191.81
  6. Step 6: Final answer
    x = 14,258.67

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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.