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Finding the Fourth Proportional to 23,605.14, 32,575.31 and 12,994.95

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Solution

The fourth proportional to 23,605.14, 32,575.31 and 12,994.95 is: 17,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.14 : 32,575.31 = 12,994.95 : x
  2. Step 2: Convert to fraction form
    23,605.14/32,575.31 = 12,994.95/x
  3. Step 3: Cross multiply
    23,605.14x = 32,575.31 × 12,994.95
  4. Step 4: Simplify right side
    23,605.14x = 423,314,296.83
  5. Step 5: Solve for x
    x = 423,314,296.83/23,605.14
  6. Step 6: Final answer
    x = 17,933.14

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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.