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Finding the Fourth Proportional to 23,502.15, 35,284.51 and 13,648.50

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Solution

The fourth proportional to 23,502.15, 35,284.51 and 13,648.50 is: 20,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.15 : 35,284.51 = 13,648.50 : x
  2. Step 2: Convert to fraction form
    23,502.15/35,284.51 = 13,648.50/x
  3. Step 3: Cross multiply
    23,502.15x = 35,284.51 × 13,648.50
  4. Step 4: Simplify right side
    23,502.15x = 481,580,651.80
  5. Step 5: Solve for x
    x = 481,580,651.80/23,502.15
  6. Step 6: Final answer
    x = 20,490.92

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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.