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Finding the Fourth Proportional to 23,100.34, 31,878.64 and 13,028.98

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Solution

The fourth proportional to 23,100.34, 31,878.64 and 13,028.98 is: 17,980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.34 : 31,878.64 = 13,028.98 : x
  2. Step 2: Convert to fraction form
    23,100.34/31,878.64 = 13,028.98/x
  3. Step 3: Cross multiply
    23,100.34x = 31,878.64 × 13,028.98
  4. Step 4: Simplify right side
    23,100.34x = 415,346,033.05
  5. Step 5: Solve for x
    x = 415,346,033.05/23,100.34
  6. Step 6: Final answer
    x = 17,980.08

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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.