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Finding the Fourth Proportional to 19,907.10, 27,466.83 and 12,825

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Solution

The fourth proportional to 19,907.10, 27,466.83 and 12,825 is: 17,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.10 : 27,466.83 = 12,825 : x
  2. Step 2: Convert to fraction form
    19,907.10/27,466.83 = 12,825/x
  3. Step 3: Cross multiply
    19,907.10x = 27,466.83 × 12,825
  4. Step 4: Simplify right side
    19,907.10x = 352,262,094.75
  5. Step 5: Solve for x
    x = 352,262,094.75/19,907.10
  6. Step 6: Final answer
    x = 17,695.30

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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.