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Finding the Fourth Proportional to 16,313.34, 22,513.98 and 9,143.22

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Solution

The fourth proportional to 16,313.34, 22,513.98 and 9,143.22 is: 12,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.34 : 22,513.98 = 9,143.22 : x
  2. Step 2: Convert to fraction form
    16,313.34/22,513.98 = 9,143.22/x
  3. Step 3: Cross multiply
    16,313.34x = 22,513.98 × 9,143.22
  4. Step 4: Simplify right side
    16,313.34x = 205,850,226.50
  5. Step 5: Solve for x
    x = 205,850,226.50/16,313.34
  6. Step 6: Final answer
    x = 12,618.52

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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.