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Finding the Fourth Proportional to 28,577.60, 42,894.06 and 13,796.88

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Solution

The fourth proportional to 28,577.60, 42,894.06 and 13,796.88 is: 20,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.60 : 42,894.06 = 13,796.88 : x
  2. Step 2: Convert to fraction form
    28,577.60/42,894.06 = 13,796.88/x
  3. Step 3: Cross multiply
    28,577.60x = 42,894.06 × 13,796.88
  4. Step 4: Simplify right side
    28,577.60x = 591,804,198.53
  5. Step 5: Solve for x
    x = 591,804,198.53/28,577.60
  6. Step 6: Final answer
    x = 20,708.68

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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.