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Finding the Fourth Proportional to 13,772.37, 19,006.07 and 8,465.25

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Solution

The fourth proportional to 13,772.37, 19,006.07 and 8,465.25 is: 11,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.37 : 19,006.07 = 8,465.25 : x
  2. Step 2: Convert to fraction form
    13,772.37/19,006.07 = 8,465.25/x
  3. Step 3: Cross multiply
    13,772.37x = 19,006.07 × 8,465.25
  4. Step 4: Simplify right side
    13,772.37x = 160,891,091.74
  5. Step 5: Solve for x
    x = 160,891,091.74/13,772.37
  6. Step 6: Final answer
    x = 11,682.16

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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.