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Finding the Fourth Proportional to 23,513.70, 32,448.81 and 12,903.31

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Solution

The fourth proportional to 23,513.70, 32,448.81 and 12,903.31 is: 17,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.70 : 32,448.81 = 12,903.31 : x
  2. Step 2: Convert to fraction form
    23,513.70/32,448.81 = 12,903.31/x
  3. Step 3: Cross multiply
    23,513.70x = 32,448.81 × 12,903.31
  4. Step 4: Simplify right side
    23,513.70x = 418,697,054.56
  5. Step 5: Solve for x
    x = 418,697,054.56/23,513.70
  6. Step 6: Final answer
    x = 17,806.52

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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.