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Finding the Fourth Proportional to 11,830.99, 17,746.09 and 2,946.31

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Solution

The fourth proportional to 11,830.99, 17,746.09 and 2,946.31 is: 4,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.99 : 17,746.09 = 2,946.31 : x
  2. Step 2: Convert to fraction form
    11,830.99/17,746.09 = 2,946.31/x
  3. Step 3: Cross multiply
    11,830.99x = 17,746.09 × 2,946.31
  4. Step 4: Simplify right side
    11,830.99x = 52,285,482.43
  5. Step 5: Solve for x
    x = 52,285,482.43/11,830.99
  6. Step 6: Final answer
    x = 4,419.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.