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Finding the Fourth Proportional to 17,658.02, 26,485.04 and 5,178.14

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Solution

The fourth proportional to 17,658.02, 26,485.04 and 5,178.14 is: 7,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.02 : 26,485.04 = 5,178.14 : x
  2. Step 2: Convert to fraction form
    17,658.02/26,485.04 = 5,178.14/x
  3. Step 3: Cross multiply
    17,658.02x = 26,485.04 × 5,178.14
  4. Step 4: Simplify right side
    17,658.02x = 137,143,373.84
  5. Step 5: Solve for x
    x = 137,143,373.84/17,658.02
  6. Step 6: Final answer
    x = 7,766.64

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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.