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Finding the Fourth Proportional to 25,598, 38,412.12 and 10,805.96

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Solution

The fourth proportional to 25,598, 38,412.12 and 10,805.96 is: 16,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 38,412.12 = 10,805.96 : x
  2. Step 2: Convert to fraction form
    25,598/38,412.12 = 10,805.96/x
  3. Step 3: Cross multiply
    25,598x = 38,412.12 × 10,805.96
  4. Step 4: Simplify right side
    25,598x = 415,079,832.24
  5. Step 5: Solve for x
    x = 415,079,832.24/25,598
  6. Step 6: Final answer
    x = 16,215.32

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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.