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Finding the Fourth Proportional to 23,412.88, 32,295 and 16,336.72

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Solution

The fourth proportional to 23,412.88, 32,295 and 16,336.72 is: 22,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.88 : 32,295 = 16,336.72 : x
  2. Step 2: Convert to fraction form
    23,412.88/32,295 = 16,336.72/x
  3. Step 3: Cross multiply
    23,412.88x = 32,295 × 16,336.72
  4. Step 4: Simplify right side
    23,412.88x = 527,594,372.40
  5. Step 5: Solve for x
    x = 527,594,372.40/23,412.88
  6. Step 6: Final answer
    x = 22,534.36

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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.