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Finding the Fourth Proportional to 23,529.80, 32,471.18 and 12,920.10

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Solution

The fourth proportional to 23,529.80, 32,471.18 and 12,920.10 is: 17,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.80 : 32,471.18 = 12,920.10 : x
  2. Step 2: Convert to fraction form
    23,529.80/32,471.18 = 12,920.10/x
  3. Step 3: Cross multiply
    23,529.80x = 32,471.18 × 12,920.10
  4. Step 4: Simplify right side
    23,529.80x = 419,530,828.12
  5. Step 5: Solve for x
    x = 419,530,828.12/23,529.80
  6. Step 6: Final answer
    x = 17,829.77

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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.