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Finding the Fourth Proportional to 17,307.05, 25,964.04 and 6,214.60

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Solution

The fourth proportional to 17,307.05, 25,964.04 and 6,214.60 is: 9,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307.05 : 25,964.04 = 6,214.60 : x
  2. Step 2: Convert to fraction form
    17,307.05/25,964.04 = 6,214.60/x
  3. Step 3: Cross multiply
    17,307.05x = 25,964.04 × 6,214.60
  4. Step 4: Simplify right side
    17,307.05x = 161,356,178.74
  5. Step 5: Solve for x
    x = 161,356,178.74/17,307.05
  6. Step 6: Final answer
    x = 9,323.15

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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.