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Finding the Fourth Proportional to 16,181.51, 22,330.62 and 9,806.00

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Solution

The fourth proportional to 16,181.51, 22,330.62 and 9,806.00 is: 13,532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.51 : 22,330.62 = 9,806.00 : x
  2. Step 2: Convert to fraction form
    16,181.51/22,330.62 = 9,806.00/x
  3. Step 3: Cross multiply
    16,181.51x = 22,330.62 × 9,806.00
  4. Step 4: Simplify right side
    16,181.51x = 218,973,948.07
  5. Step 5: Solve for x
    x = 218,973,948.07/16,181.51
  6. Step 6: Final answer
    x = 13,532.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.