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Finding the Fourth Proportional to 16,341.54, 22,533.29 and 11,297.00

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Solution

The fourth proportional to 16,341.54, 22,533.29 and 11,297.00 is: 15,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.54 : 22,533.29 = 11,297.00 : x
  2. Step 2: Convert to fraction form
    16,341.54/22,533.29 = 11,297.00/x
  3. Step 3: Cross multiply
    16,341.54x = 22,533.29 × 11,297.00
  4. Step 4: Simplify right side
    16,341.54x = 254,558,487.09
  5. Step 5: Solve for x
    x = 254,558,487.09/16,341.54
  6. Step 6: Final answer
    x = 15,577.39

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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.