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Finding the Fourth Proportional to 13,821.80, 19,068.64 and 8,507.39

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Solution

The fourth proportional to 13,821.80, 19,068.64 and 8,507.39 is: 11,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.80 : 19,068.64 = 8,507.39 : x
  2. Step 2: Convert to fraction form
    13,821.80/19,068.64 = 8,507.39/x
  3. Step 3: Cross multiply
    13,821.80x = 19,068.64 × 8,507.39
  4. Step 4: Simplify right side
    13,821.80x = 162,224,240.64
  5. Step 5: Solve for x
    x = 162,224,240.64/13,821.80
  6. Step 6: Final answer
    x = 11,736.84

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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.