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Finding the Fourth Proportional to 16,946.10, 25,419.60 and 5,259.60

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Solution

The fourth proportional to 16,946.10, 25,419.60 and 5,259.60 is: 7,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.10 : 25,419.60 = 5,259.60 : x
  2. Step 2: Convert to fraction form
    16,946.10/25,419.60 = 5,259.60/x
  3. Step 3: Cross multiply
    16,946.10x = 25,419.60 × 5,259.60
  4. Step 4: Simplify right side
    16,946.10x = 133,696,928.16
  5. Step 5: Solve for x
    x = 133,696,928.16/16,946.10
  6. Step 6: Final answer
    x = 7,889.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.