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Finding the Fourth Proportional to 12,445.54, 17,175.72 and 7,141.66

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Solution

The fourth proportional to 12,445.54, 17,175.72 and 7,141.66 is: 9,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.54 : 17,175.72 = 7,141.66 : x
  2. Step 2: Convert to fraction form
    12,445.54/17,175.72 = 7,141.66/x
  3. Step 3: Cross multiply
    12,445.54x = 17,175.72 × 7,141.66
  4. Step 4: Simplify right side
    12,445.54x = 122,663,152.50
  5. Step 5: Solve for x
    x = 122,663,152.50/12,445.54
  6. Step 6: Final answer
    x = 9,855.99

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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.