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Finding the Fourth Proportional to 20,328.64, 30,478.56 and 7,838.08

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Solution

The fourth proportional to 20,328.64, 30,478.56 and 7,838.08 is: 11,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.64 : 30,478.56 = 7,838.08 : x
  2. Step 2: Convert to fraction form
    20,328.64/30,478.56 = 7,838.08/x
  3. Step 3: Cross multiply
    20,328.64x = 30,478.56 × 7,838.08
  4. Step 4: Simplify right side
    20,328.64x = 238,893,391.56
  5. Step 5: Solve for x
    x = 238,893,391.56/20,328.64
  6. Step 6: Final answer
    x = 11,751.57

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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.