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Finding the Fourth Proportional to 15,912.86, 23,881.43 and 8,023.25

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Solution

The fourth proportional to 15,912.86, 23,881.43 and 8,023.25 is: 12,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.86 : 23,881.43 = 8,023.25 : x
  2. Step 2: Convert to fraction form
    15,912.86/23,881.43 = 8,023.25/x
  3. Step 3: Cross multiply
    15,912.86x = 23,881.43 × 8,023.25
  4. Step 4: Simplify right side
    15,912.86x = 191,606,763.01
  5. Step 5: Solve for x
    x = 191,606,763.01/15,912.86
  6. Step 6: Final answer
    x = 12,041.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.