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Finding the Fourth Proportional to 23,823.70, 32,878.71 and 13,216.75

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Solution

The fourth proportional to 23,823.70, 32,878.71 and 13,216.75 is: 18,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.70 : 32,878.71 = 13,216.75 : x
  2. Step 2: Convert to fraction form
    23,823.70/32,878.71 = 13,216.75/x
  3. Step 3: Cross multiply
    23,823.70x = 32,878.71 × 13,216.75
  4. Step 4: Simplify right side
    23,823.70x = 434,549,690.39
  5. Step 5: Solve for x
    x = 434,549,690.39/23,823.70
  6. Step 6: Final answer
    x = 18,240.23

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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.