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Finding the Fourth Proportional to 25,840.04, 38,763.98 and 11,049

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Solution

The fourth proportional to 25,840.04, 38,763.98 and 11,049 is: 16,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,840.04 : 38,763.98 = 11,049 : x
  2. Step 2: Convert to fraction form
    25,840.04/38,763.98 = 11,049/x
  3. Step 3: Cross multiply
    25,840.04x = 38,763.98 × 11,049
  4. Step 4: Simplify right side
    25,840.04x = 428,303,215.02
  5. Step 5: Solve for x
    x = 428,303,215.02/25,840.04
  6. Step 6: Final answer
    x = 16,575.18

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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.