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Finding the Fourth Proportional to 43,517, 65,280.30 and 13,927.88

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Solution

The fourth proportional to 43,517, 65,280.30 and 13,927.88 is: 20,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,517 : 65,280.30 = 13,927.88 : x
  2. Step 2: Convert to fraction form
    43,517/65,280.30 = 13,927.88/x
  3. Step 3: Cross multiply
    43,517x = 65,280.30 × 13,927.88
  4. Step 4: Simplify right side
    43,517x = 909,216,184.76
  5. Step 5: Solve for x
    x = 909,216,184.76/43,517
  6. Step 6: Final answer
    x = 20,893.36

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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.