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Finding the Fourth Proportional to 14,604.36, 21,902.89 and 4,746.47

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Solution

The fourth proportional to 14,604.36, 21,902.89 and 4,746.47 is: 7,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.36 : 21,902.89 = 4,746.47 : x
  2. Step 2: Convert to fraction form
    14,604.36/21,902.89 = 4,746.47/x
  3. Step 3: Cross multiply
    14,604.36x = 21,902.89 × 4,746.47
  4. Step 4: Simplify right side
    14,604.36x = 103,961,410.30
  5. Step 5: Solve for x
    x = 103,961,410.30/14,604.36
  6. Step 6: Final answer
    x = 7,118.52

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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.