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Finding the Fourth Proportional to 12,277.75, 18,417.84 and 4,880.56

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Solution

The fourth proportional to 12,277.75, 18,417.84 and 4,880.56 is: 7,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.75 : 18,417.84 = 4,880.56 : x
  2. Step 2: Convert to fraction form
    12,277.75/18,417.84 = 4,880.56/x
  3. Step 3: Cross multiply
    12,277.75x = 18,417.84 × 4,880.56
  4. Step 4: Simplify right side
    12,277.75x = 89,889,373.19
  5. Step 5: Solve for x
    x = 89,889,373.19/12,277.75
  6. Step 6: Final answer
    x = 7,321.32

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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.