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Finding the Fourth Proportional to 23,652.80, 32,647.68 and 16,580.96

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Solution

The fourth proportional to 23,652.80, 32,647.68 and 16,580.96 is: 22,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.80 : 32,647.68 = 16,580.96 : x
  2. Step 2: Convert to fraction form
    23,652.80/32,647.68 = 16,580.96/x
  3. Step 3: Cross multiply
    23,652.80x = 32,647.68 × 16,580.96
  4. Step 4: Simplify right side
    23,652.80x = 541,329,876.17
  5. Step 5: Solve for x
    x = 541,329,876.17/23,652.80
  6. Step 6: Final answer
    x = 22,886.50

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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.