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Finding the Fourth Proportional to 16,298.70, 22,493.43 and 9,128.25

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Solution

The fourth proportional to 16,298.70, 22,493.43 and 9,128.25 is: 12,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.70 : 22,493.43 = 9,128.25 : x
  2. Step 2: Convert to fraction form
    16,298.70/22,493.43 = 9,128.25/x
  3. Step 3: Cross multiply
    16,298.70x = 22,493.43 × 9,128.25
  4. Step 4: Simplify right side
    16,298.70x = 205,325,652.40
  5. Step 5: Solve for x
    x = 205,325,652.40/16,298.70
  6. Step 6: Final answer
    x = 12,597.67

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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.