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Finding the Fourth Proportional to 16,505.46, 22,778.46 and 9,434.16

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Solution

The fourth proportional to 16,505.46, 22,778.46 and 9,434.16 is: 13,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.46 : 22,778.46 = 9,434.16 : x
  2. Step 2: Convert to fraction form
    16,505.46/22,778.46 = 9,434.16/x
  3. Step 3: Cross multiply
    16,505.46x = 22,778.46 × 9,434.16
  4. Step 4: Simplify right side
    16,505.46x = 214,895,636.19
  5. Step 5: Solve for x
    x = 214,895,636.19/16,505.46
  6. Step 6: Final answer
    x = 13,019.67

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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.