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Finding the Fourth Proportional to 16,564.41, 22,853.72 and 9,393.76

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Solution

The fourth proportional to 16,564.41, 22,853.72 and 9,393.76 is: 12,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.41 : 22,853.72 = 9,393.76 : x
  2. Step 2: Convert to fraction form
    16,564.41/22,853.72 = 9,393.76/x
  3. Step 3: Cross multiply
    16,564.41x = 22,853.72 × 9,393.76
  4. Step 4: Simplify right side
    16,564.41x = 214,682,246.52
  5. Step 5: Solve for x
    x = 214,682,246.52/16,564.41
  6. Step 6: Final answer
    x = 12,960.46

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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.