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Finding the Fourth Proportional to 12,415.50, 18,623.16 and 5,019.87

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Solution

The fourth proportional to 12,415.50, 18,623.16 and 5,019.87 is: 7,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.50 : 18,623.16 = 5,019.87 : x
  2. Step 2: Convert to fraction form
    12,415.50/18,623.16 = 5,019.87/x
  3. Step 3: Cross multiply
    12,415.50x = 18,623.16 × 5,019.87
  4. Step 4: Simplify right side
    12,415.50x = 93,485,842.19
  5. Step 5: Solve for x
    x = 93,485,842.19/12,415.50
  6. Step 6: Final answer
    x = 7,529.77

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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.