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Finding the Fourth Proportional to 23,849.37, 35,774.06 and 9,054.79

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Solution

The fourth proportional to 23,849.37, 35,774.06 and 9,054.79 is: 13,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849.37 : 35,774.06 = 9,054.79 : x
  2. Step 2: Convert to fraction form
    23,849.37/35,774.06 = 9,054.79/x
  3. Step 3: Cross multiply
    23,849.37x = 35,774.06 × 9,054.79
  4. Step 4: Simplify right side
    23,849.37x = 323,926,466.04
  5. Step 5: Solve for x
    x = 323,926,466.04/23,849.37
  6. Step 6: Final answer
    x = 13,582.18

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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.