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Finding the Fourth Proportional to 16,253.75, 22,423.83 and 9,446.64

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Solution

The fourth proportional to 16,253.75, 22,423.83 and 9,446.64 is: 13,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.75 : 22,423.83 = 9,446.64 : x
  2. Step 2: Convert to fraction form
    16,253.75/22,423.83 = 9,446.64/x
  3. Step 3: Cross multiply
    16,253.75x = 22,423.83 × 9,446.64
  4. Step 4: Simplify right side
    16,253.75x = 211,829,802.20
  5. Step 5: Solve for x
    x = 211,829,802.20/16,253.75
  6. Step 6: Final answer
    x = 13,032.67

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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.