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Finding the Fourth Proportional to 23,625.98, 32,592.48 and 14,684

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Solution

The fourth proportional to 23,625.98, 32,592.48 and 14,684 is: 20,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625.98 : 32,592.48 = 14,684 : x
  2. Step 2: Convert to fraction form
    23,625.98/32,592.48 = 14,684/x
  3. Step 3: Cross multiply
    23,625.98x = 32,592.48 × 14,684
  4. Step 4: Simplify right side
    23,625.98x = 478,587,976.32
  5. Step 5: Solve for x
    x = 478,587,976.32/23,625.98
  6. Step 6: Final answer
    x = 20,256.85

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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.