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Finding the Fourth Proportional to 16,291.81, 22,477.46 and 9,120.66

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Solution

The fourth proportional to 16,291.81, 22,477.46 and 9,120.66 is: 12,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.81 : 22,477.46 = 9,120.66 : x
  2. Step 2: Convert to fraction form
    16,291.81/22,477.46 = 9,120.66/x
  3. Step 3: Cross multiply
    16,291.81x = 22,477.46 × 9,120.66
  4. Step 4: Simplify right side
    16,291.81x = 205,009,362.60
  5. Step 5: Solve for x
    x = 205,009,362.60/16,291.81
  6. Step 6: Final answer
    x = 12,583.59

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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.