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Finding the Fourth Proportional to 23,540.52, 35,323.74 and 14,313

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Solution

The fourth proportional to 23,540.52, 35,323.74 and 14,313 is: 21,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,540.52 : 35,323.74 = 14,313 : x
  2. Step 2: Convert to fraction form
    23,540.52/35,323.74 = 14,313/x
  3. Step 3: Cross multiply
    23,540.52x = 35,323.74 × 14,313
  4. Step 4: Simplify right side
    23,540.52x = 505,588,690.62
  5. Step 5: Solve for x
    x = 505,588,690.62/23,540.52
  6. Step 6: Final answer
    x = 21,477.38

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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.