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Finding the Fourth Proportional to 20,825.50, 28,738.64 and 12,328.06

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Solution

The fourth proportional to 20,825.50, 28,738.64 and 12,328.06 is: 17,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.50 : 28,738.64 = 12,328.06 : x
  2. Step 2: Convert to fraction form
    20,825.50/28,738.64 = 12,328.06/x
  3. Step 3: Cross multiply
    20,825.50x = 28,738.64 × 12,328.06
  4. Step 4: Simplify right side
    20,825.50x = 354,291,678.24
  5. Step 5: Solve for x
    x = 354,291,678.24/20,825.50
  6. Step 6: Final answer
    x = 17,012.40

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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.