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Finding the Fourth Proportional to 12,004.32, 18,012.95 and 5,848.32

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Solution

The fourth proportional to 12,004.32, 18,012.95 and 5,848.32 is: 8,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.32 : 18,012.95 = 5,848.32 : x
  2. Step 2: Convert to fraction form
    12,004.32/18,012.95 = 5,848.32/x
  3. Step 3: Cross multiply
    12,004.32x = 18,012.95 × 5,848.32
  4. Step 4: Simplify right side
    12,004.32x = 105,345,466.50
  5. Step 5: Solve for x
    x = 105,345,466.50/12,004.32
  6. Step 6: Final answer
    x = 8,775.63

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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.