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Finding the Fourth Proportional to 12,622.02, 17,417.55 and 7,583.25

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Solution

The fourth proportional to 12,622.02, 17,417.55 and 7,583.25 is: 10,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.02 : 17,417.55 = 7,583.25 : x
  2. Step 2: Convert to fraction form
    12,622.02/17,417.55 = 7,583.25/x
  3. Step 3: Cross multiply
    12,622.02x = 17,417.55 × 7,583.25
  4. Step 4: Simplify right side
    12,622.02x = 132,081,636.04
  5. Step 5: Solve for x
    x = 132,081,636.04/12,622.02
  6. Step 6: Final answer
    x = 10,464.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.