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Finding the Fourth Proportional to 12,442.08, 17,172.04 and 7,406.52

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Solution

The fourth proportional to 12,442.08, 17,172.04 and 7,406.52 is: 10,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.08 : 17,172.04 = 7,406.52 : x
  2. Step 2: Convert to fraction form
    12,442.08/17,172.04 = 7,406.52/x
  3. Step 3: Cross multiply
    12,442.08x = 17,172.04 × 7,406.52
  4. Step 4: Simplify right side
    12,442.08x = 127,185,057.70
  5. Step 5: Solve for x
    x = 127,185,057.70/12,442.08
  6. Step 6: Final answer
    x = 10,222.17

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