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Finding the Fourth Proportional to 17,746.56, 24,477.60 and 12,442.56

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Solution

The fourth proportional to 17,746.56, 24,477.60 and 12,442.56 is: 17,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.56 : 24,477.60 = 12,442.56 : x
  2. Step 2: Convert to fraction form
    17,746.56/24,477.60 = 12,442.56/x
  3. Step 3: Cross multiply
    17,746.56x = 24,477.60 × 12,442.56
  4. Step 4: Simplify right side
    17,746.56x = 304,564,006.66
  5. Step 5: Solve for x
    x = 304,564,006.66/17,746.56
  6. Step 6: Final answer
    x = 17,161.86

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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.