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Finding the Fourth Proportional to 23,684.60, 32,684.31 and 13,074.01

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Solution

The fourth proportional to 23,684.60, 32,684.31 and 13,074.01 is: 18,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684.60 : 32,684.31 = 13,074.01 : x
  2. Step 2: Convert to fraction form
    23,684.60/32,684.31 = 13,074.01/x
  3. Step 3: Cross multiply
    23,684.60x = 32,684.31 × 13,074.01
  4. Step 4: Simplify right side
    23,684.60x = 427,314,914.07
  5. Step 5: Solve for x
    x = 427,314,914.07/23,684.60
  6. Step 6: Final answer
    x = 18,041.89

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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.