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Finding the Fourth Proportional to 25,873.23, 38,809.80 and 7,153.22

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Solution

The fourth proportional to 25,873.23, 38,809.80 and 7,153.22 is: 10,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,873.23 : 38,809.80 = 7,153.22 : x
  2. Step 2: Convert to fraction form
    25,873.23/38,809.80 = 7,153.22/x
  3. Step 3: Cross multiply
    25,873.23x = 38,809.80 × 7,153.22
  4. Step 4: Simplify right side
    25,873.23x = 277,615,134.58
  5. Step 5: Solve for x
    x = 277,615,134.58/25,873.23
  6. Step 6: Final answer
    x = 10,729.82

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