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Finding the Fourth Proportional to 16,506.42, 22,749.11 and 12,023.07

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Solution

The fourth proportional to 16,506.42, 22,749.11 and 12,023.07 is: 16,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.42 : 22,749.11 = 12,023.07 : x
  2. Step 2: Convert to fraction form
    16,506.42/22,749.11 = 12,023.07/x
  3. Step 3: Cross multiply
    16,506.42x = 22,749.11 × 12,023.07
  4. Step 4: Simplify right side
    16,506.42x = 273,514,141.97
  5. Step 5: Solve for x
    x = 273,514,141.97/16,506.42
  6. Step 6: Final answer
    x = 16,570.17

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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.