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Finding the Fourth Proportional to 16,152.05, 22,289.10 and 9,078.32

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Solution

The fourth proportional to 16,152.05, 22,289.10 and 9,078.32 is: 12,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.05 : 22,289.10 = 9,078.32 : x
  2. Step 2: Convert to fraction form
    16,152.05/22,289.10 = 9,078.32/x
  3. Step 3: Cross multiply
    16,152.05x = 22,289.10 × 9,078.32
  4. Step 4: Simplify right side
    16,152.05x = 202,347,582.31
  5. Step 5: Solve for x
    x = 202,347,582.31/16,152.05
  6. Step 6: Final answer
    x = 12,527.67

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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.