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Finding the Fourth Proportional to 21,809, 30,094.02 and 12,377.64

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Solution

The fourth proportional to 21,809, 30,094.02 and 12,377.64 is: 17,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,809 : 30,094.02 = 12,377.64 : x
  2. Step 2: Convert to fraction form
    21,809/30,094.02 = 12,377.64/x
  3. Step 3: Cross multiply
    21,809x = 30,094.02 × 12,377.64
  4. Step 4: Simplify right side
    21,809x = 372,492,945.71
  5. Step 5: Solve for x
    x = 372,492,945.71/21,809
  6. Step 6: Final answer
    x = 17,079.78

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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.