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Finding the Fourth Proportional to 12,033, 18,056.79 and 5,107.50

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Solution

The fourth proportional to 12,033, 18,056.79 and 5,107.50 is: 7,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 18,056.79 = 5,107.50 : x
  2. Step 2: Convert to fraction form
    12,033/18,056.79 = 5,107.50/x
  3. Step 3: Cross multiply
    12,033x = 18,056.79 × 5,107.50
  4. Step 4: Simplify right side
    12,033x = 92,225,054.93
  5. Step 5: Solve for x
    x = 92,225,054.93/12,033
  6. Step 6: Final answer
    x = 7,664.34

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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.