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Finding the Fourth Proportional to 23,888.32, 35,842.34 and 12,035.69

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Solution

The fourth proportional to 23,888.32, 35,842.34 and 12,035.69 is: 18,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.32 : 35,842.34 = 12,035.69 : x
  2. Step 2: Convert to fraction form
    23,888.32/35,842.34 = 12,035.69/x
  3. Step 3: Cross multiply
    23,888.32x = 35,842.34 × 12,035.69
  4. Step 4: Simplify right side
    23,888.32x = 431,387,143.99
  5. Step 5: Solve for x
    x = 431,387,143.99/23,888.32
  6. Step 6: Final answer
    x = 18,058.50

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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.