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Finding the Fourth Proportional to 23,698.14, 35,710.64 and 19,629.12

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Solution

The fourth proportional to 23,698.14, 35,710.64 and 19,629.12 is: 29,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.14 : 35,710.64 = 19,629.12 : x
  2. Step 2: Convert to fraction form
    23,698.14/35,710.64 = 19,629.12/x
  3. Step 3: Cross multiply
    23,698.14x = 35,710.64 × 19,629.12
  4. Step 4: Simplify right side
    23,698.14x = 700,968,437.84
  5. Step 5: Solve for x
    x = 700,968,437.84/23,698.14
  6. Step 6: Final answer
    x = 29,579.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.