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Finding the Fourth Proportional to 13,356, 18,424.56 and 8,577.12

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Solution

The fourth proportional to 13,356, 18,424.56 and 8,577.12 is: 11,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356 : 18,424.56 = 8,577.12 : x
  2. Step 2: Convert to fraction form
    13,356/18,424.56 = 8,577.12/x
  3. Step 3: Cross multiply
    13,356x = 18,424.56 × 8,577.12
  4. Step 4: Simplify right side
    13,356x = 158,029,662.07
  5. Step 5: Solve for x
    x = 158,029,662.07/13,356
  6. Step 6: Final answer
    x = 11,832.11

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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.