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Finding the Fourth Proportional to 28,214, 42,316.12 and 13,222.64

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Solution

The fourth proportional to 28,214, 42,316.12 and 13,222.64 is: 19,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214 : 42,316.12 = 13,222.64 : x
  2. Step 2: Convert to fraction form
    28,214/42,316.12 = 13,222.64/x
  3. Step 3: Cross multiply
    28,214x = 42,316.12 × 13,222.64
  4. Step 4: Simplify right side
    28,214x = 559,530,820.96
  5. Step 5: Solve for x
    x = 559,530,820.96/28,214
  6. Step 6: Final answer
    x = 19,831.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.