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Finding the Fourth Proportional to 16,007.70, 22,094.56 and 9,725.34

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Solution

The fourth proportional to 16,007.70, 22,094.56 and 9,725.34 is: 13,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.70 : 22,094.56 = 9,725.34 : x
  2. Step 2: Convert to fraction form
    16,007.70/22,094.56 = 9,725.34/x
  3. Step 3: Cross multiply
    16,007.70x = 22,094.56 × 9,725.34
  4. Step 4: Simplify right side
    16,007.70x = 214,877,108.15
  5. Step 5: Solve for x
    x = 214,877,108.15/16,007.70
  6. Step 6: Final answer
    x = 13,423.36

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