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Finding the Fourth Proportional to 28,409.16, 39,205.98 and 15,834

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Solution

The fourth proportional to 28,409.16, 39,205.98 and 15,834 is: 21,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,409.16 : 39,205.98 = 15,834 : x
  2. Step 2: Convert to fraction form
    28,409.16/39,205.98 = 15,834/x
  3. Step 3: Cross multiply
    28,409.16x = 39,205.98 × 15,834
  4. Step 4: Simplify right side
    28,409.16x = 620,787,487.32
  5. Step 5: Solve for x
    x = 620,787,487.32/28,409.16
  6. Step 6: Final answer
    x = 21,851.67

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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.