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Finding the Fourth Proportional to 16,032.54, 22,125.90 and 8,959.50

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Solution

The fourth proportional to 16,032.54, 22,125.90 and 8,959.50 is: 12,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.54 : 22,125.90 = 8,959.50 : x
  2. Step 2: Convert to fraction form
    16,032.54/22,125.90 = 8,959.50/x
  3. Step 3: Cross multiply
    16,032.54x = 22,125.90 × 8,959.50
  4. Step 4: Simplify right side
    16,032.54x = 198,237,001.05
  5. Step 5: Solve for x
    x = 198,237,001.05/16,032.54
  6. Step 6: Final answer
    x = 12,364.67

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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.