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Finding the Fourth Proportional to 13,772.60, 19,005.74 and 8,106.03

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Solution

The fourth proportional to 13,772.60, 19,005.74 and 8,106.03 is: 11,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.60 : 19,005.74 = 8,106.03 : x
  2. Step 2: Convert to fraction form
    13,772.60/19,005.74 = 8,106.03/x
  3. Step 3: Cross multiply
    13,772.60x = 19,005.74 × 8,106.03
  4. Step 4: Simplify right side
    13,772.60x = 154,061,058.08
  5. Step 5: Solve for x
    x = 154,061,058.08/13,772.60
  6. Step 6: Final answer
    x = 11,186.06

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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.