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Finding the Fourth Proportional to 19,804.02, 29,722.44 and 9,946.11

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Solution

The fourth proportional to 19,804.02, 29,722.44 and 9,946.11 is: 14,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.02 : 29,722.44 = 9,946.11 : x
  2. Step 2: Convert to fraction form
    19,804.02/29,722.44 = 9,946.11/x
  3. Step 3: Cross multiply
    19,804.02x = 29,722.44 × 9,946.11
  4. Step 4: Simplify right side
    19,804.02x = 295,622,657.71
  5. Step 5: Solve for x
    x = 295,622,657.71/19,804.02
  6. Step 6: Final answer
    x = 14,927.41

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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.