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Finding the Fourth Proportional to 13,770, 19,005.84 and 8,184.24

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Solution

The fourth proportional to 13,770, 19,005.84 and 8,184.24 is: 11,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 19,005.84 = 8,184.24 : x
  2. Step 2: Convert to fraction form
    13,770/19,005.84 = 8,184.24/x
  3. Step 3: Cross multiply
    13,770x = 19,005.84 × 8,184.24
  4. Step 4: Simplify right side
    13,770x = 155,548,355.96
  5. Step 5: Solve for x
    x = 155,548,355.96/13,770
  6. Step 6: Final answer
    x = 11,296.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.