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Finding the Fourth Proportional to 16,454.36, 22,707.02 and 9,285.79

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Solution

The fourth proportional to 16,454.36, 22,707.02 and 9,285.79 is: 12,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.36 : 22,707.02 = 9,285.79 : x
  2. Step 2: Convert to fraction form
    16,454.36/22,707.02 = 9,285.79/x
  3. Step 3: Cross multiply
    16,454.36x = 22,707.02 × 9,285.79
  4. Step 4: Simplify right side
    16,454.36x = 210,852,572.82
  5. Step 5: Solve for x
    x = 210,852,572.82/16,454.36
  6. Step 6: Final answer
    x = 12,814.39

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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.