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Finding the Fourth Proportional to 12,196.01, 18,290.40 and 5,175.93

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Solution

The fourth proportional to 12,196.01, 18,290.40 and 5,175.93 is: 7,762.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.01 : 18,290.40 = 5,175.93 : x
  2. Step 2: Convert to fraction form
    12,196.01/18,290.40 = 5,175.93/x
  3. Step 3: Cross multiply
    12,196.01x = 18,290.40 × 5,175.93
  4. Step 4: Simplify right side
    12,196.01x = 94,669,830.07
  5. Step 5: Solve for x
    x = 94,669,830.07/12,196.01
  6. Step 6: Final answer
    x = 7,762.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.