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Finding the Fourth Proportional to 23,526.21, 32,467.05 and 12,916.83

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Solution

The fourth proportional to 23,526.21, 32,467.05 and 12,916.83 is: 17,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.21 : 32,467.05 = 12,916.83 : x
  2. Step 2: Convert to fraction form
    23,526.21/32,467.05 = 12,916.83/x
  3. Step 3: Cross multiply
    23,526.21x = 32,467.05 × 12,916.83
  4. Step 4: Simplify right side
    23,526.21x = 419,371,365.45
  5. Step 5: Solve for x
    x = 419,371,365.45/23,526.21
  6. Step 6: Final answer
    x = 17,825.71

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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.