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Finding the Fourth Proportional to 12,648.02, 18,925.04 and 7,946.01

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Solution

The fourth proportional to 12,648.02, 18,925.04 and 7,946.01 is: 11,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.02 : 18,925.04 = 7,946.01 : x
  2. Step 2: Convert to fraction form
    12,648.02/18,925.04 = 7,946.01/x
  3. Step 3: Cross multiply
    12,648.02x = 18,925.04 × 7,946.01
  4. Step 4: Simplify right side
    12,648.02x = 150,378,517.36
  5. Step 5: Solve for x
    x = 150,378,517.36/12,648.02
  6. Step 6: Final answer
    x = 11,889.50

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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.