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Finding the Fourth Proportional to 23,526, 32,464.26 and 12,913.44

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Solution

The fourth proportional to 23,526, 32,464.26 and 12,913.44 is: 17,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526 : 32,464.26 = 12,913.44 : x
  2. Step 2: Convert to fraction form
    23,526/32,464.26 = 12,913.44/x
  3. Step 3: Cross multiply
    23,526x = 32,464.26 × 12,913.44
  4. Step 4: Simplify right side
    23,526x = 419,225,273.65
  5. Step 5: Solve for x
    x = 419,225,273.65/23,526
  6. Step 6: Final answer
    x = 17,819.66

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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.