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Finding the Fourth Proportional to 16,262.44, 22,442.58 and 9,971.08

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Solution

The fourth proportional to 16,262.44, 22,442.58 and 9,971.08 is: 13,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.44 : 22,442.58 = 9,971.08 : x
  2. Step 2: Convert to fraction form
    16,262.44/22,442.58 = 9,971.08/x
  3. Step 3: Cross multiply
    16,262.44x = 22,442.58 × 9,971.08
  4. Step 4: Simplify right side
    16,262.44x = 223,776,760.59
  5. Step 5: Solve for x
    x = 223,776,760.59/16,262.44
  6. Step 6: Final answer
    x = 13,760.34

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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.