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Finding the Fourth Proportional to 12,072.00, 18,106.46 and 4,671.40

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Solution

The fourth proportional to 12,072.00, 18,106.46 and 4,671.40 is: 7,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.00 : 18,106.46 = 4,671.40 : x
  2. Step 2: Convert to fraction form
    12,072.00/18,106.46 = 4,671.40/x
  3. Step 3: Cross multiply
    12,072.00x = 18,106.46 × 4,671.40
  4. Step 4: Simplify right side
    12,072.00x = 84,582,483.66
  5. Step 5: Solve for x
    x = 84,582,483.66/12,072.00
  6. Step 6: Final answer
    x = 7,006.50

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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.