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Finding the Fourth Proportional to 23,870.63, 35,805.71 and 14,513.23

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Solution

The fourth proportional to 23,870.63, 35,805.71 and 14,513.23 is: 21,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.63 : 35,805.71 = 14,513.23 : x
  2. Step 2: Convert to fraction form
    23,870.63/35,805.71 = 14,513.23/x
  3. Step 3: Cross multiply
    23,870.63x = 35,805.71 × 14,513.23
  4. Step 4: Simplify right side
    23,870.63x = 519,656,540.83
  5. Step 5: Solve for x
    x = 519,656,540.83/23,870.63
  6. Step 6: Final answer
    x = 21,769.71

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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.