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Finding the Fourth Proportional to 13,877.84, 20,825.40 and 4,650.32

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Solution

The fourth proportional to 13,877.84, 20,825.40 and 4,650.32 is: 6,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877.84 : 20,825.40 = 4,650.32 : x
  2. Step 2: Convert to fraction form
    13,877.84/20,825.40 = 4,650.32/x
  3. Step 3: Cross multiply
    13,877.84x = 20,825.40 × 4,650.32
  4. Step 4: Simplify right side
    13,877.84x = 96,844,774.13
  5. Step 5: Solve for x
    x = 96,844,774.13/13,877.84
  6. Step 6: Final answer
    x = 6,978.38

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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.