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Finding the Fourth Proportional to 16,710.23, 23,059.41 and 9,991.89

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Solution

The fourth proportional to 16,710.23, 23,059.41 and 9,991.89 is: 13,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,710.23 : 23,059.41 = 9,991.89 : x
  2. Step 2: Convert to fraction form
    16,710.23/23,059.41 = 9,991.89/x
  3. Step 3: Cross multiply
    16,710.23x = 23,059.41 × 9,991.89
  4. Step 4: Simplify right side
    16,710.23x = 230,407,088.18
  5. Step 5: Solve for x
    x = 230,407,088.18/16,710.23
  6. Step 6: Final answer
    x = 13,788.39

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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.