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Finding the Fourth Proportional to 16,433, 22,677.54 and 10,555.24

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Solution

The fourth proportional to 16,433, 22,677.54 and 10,555.24 is: 14,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433 : 22,677.54 = 10,555.24 : x
  2. Step 2: Convert to fraction form
    16,433/22,677.54 = 10,555.24/x
  3. Step 3: Cross multiply
    16,433x = 22,677.54 × 10,555.24
  4. Step 4: Simplify right side
    16,433x = 239,366,877.31
  5. Step 5: Solve for x
    x = 239,366,877.31/16,433
  6. Step 6: Final answer
    x = 14,566.23

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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.