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Finding the Fourth Proportional to 12,477.70, 17,222.12 and 7,175.58

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Solution

The fourth proportional to 12,477.70, 17,222.12 and 7,175.58 is: 9,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.70 : 17,222.12 = 7,175.58 : x
  2. Step 2: Convert to fraction form
    12,477.70/17,222.12 = 7,175.58/x
  3. Step 3: Cross multiply
    12,477.70x = 17,222.12 × 7,175.58
  4. Step 4: Simplify right side
    12,477.70x = 123,578,699.83
  5. Step 5: Solve for x
    x = 123,578,699.83/12,477.70
  6. Step 6: Final answer
    x = 9,903.96

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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.