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Finding the Fourth Proportional to 17,284.97, 25,916.02 and 6,756.01

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Solution

The fourth proportional to 17,284.97, 25,916.02 and 6,756.01 is: 10,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.97 : 25,916.02 = 6,756.01 : x
  2. Step 2: Convert to fraction form
    17,284.97/25,916.02 = 6,756.01/x
  3. Step 3: Cross multiply
    17,284.97x = 25,916.02 × 6,756.01
  4. Step 4: Simplify right side
    17,284.97x = 175,088,808.60
  5. Step 5: Solve for x
    x = 175,088,808.60/17,284.97
  6. Step 6: Final answer
    x = 10,129.54

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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.