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Finding the Fourth Proportional to 18,827, 28,244.84 and 6,515

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Solution

The fourth proportional to 18,827, 28,244.84 and 6,515 is: 9,774.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827 : 28,244.84 = 6,515 : x
  2. Step 2: Convert to fraction form
    18,827/28,244.84 = 6,515/x
  3. Step 3: Cross multiply
    18,827x = 28,244.84 × 6,515
  4. Step 4: Simplify right side
    18,827x = 184,015,132.60
  5. Step 5: Solve for x
    x = 184,015,132.60/18,827
  6. Step 6: Final answer
    x = 9,774.00

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Why These Related Problems?

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