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Finding the Fourth Proportional to 25,881.80, 38,802.92 and 11,832.08

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Solution

The fourth proportional to 25,881.80, 38,802.92 and 11,832.08 is: 17,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.80 : 38,802.92 = 11,832.08 : x
  2. Step 2: Convert to fraction form
    25,881.80/38,802.92 = 11,832.08/x
  3. Step 3: Cross multiply
    25,881.80x = 38,802.92 × 11,832.08
  4. Step 4: Simplify right side
    25,881.80x = 459,119,000.50
  5. Step 5: Solve for x
    x = 459,119,000.50/25,881.80
  6. Step 6: Final answer
    x = 17,739.07

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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.