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Finding the Fourth Proportional to 12,477.46, 18,707.46 and 4,679.50

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Solution

The fourth proportional to 12,477.46, 18,707.46 and 4,679.50 is: 7,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.46 : 18,707.46 = 4,679.50 : x
  2. Step 2: Convert to fraction form
    12,477.46/18,707.46 = 4,679.50/x
  3. Step 3: Cross multiply
    12,477.46x = 18,707.46 × 4,679.50
  4. Step 4: Simplify right side
    12,477.46x = 87,541,559.07
  5. Step 5: Solve for x
    x = 87,541,559.07/12,477.46
  6. Step 6: Final answer
    x = 7,015.98

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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.