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Finding the Fourth Proportional to 23,212.60, 32,033.64 and 13,140.16

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Solution

The fourth proportional to 23,212.60, 32,033.64 and 13,140.16 is: 18,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.60 : 32,033.64 = 13,140.16 : x
  2. Step 2: Convert to fraction form
    23,212.60/32,033.64 = 13,140.16/x
  3. Step 3: Cross multiply
    23,212.60x = 32,033.64 × 13,140.16
  4. Step 4: Simplify right side
    23,212.60x = 420,927,154.98
  5. Step 5: Solve for x
    x = 420,927,154.98/23,212.60
  6. Step 6: Final answer
    x = 18,133.56

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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.