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Finding the Fourth Proportional to 25,904.35, 38,856.53 and 7,189.09

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Solution

The fourth proportional to 25,904.35, 38,856.53 and 7,189.09 is: 10,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.35 : 38,856.53 = 7,189.09 : x
  2. Step 2: Convert to fraction form
    25,904.35/38,856.53 = 7,189.09/x
  3. Step 3: Cross multiply
    25,904.35x = 38,856.53 × 7,189.09
  4. Step 4: Simplify right side
    25,904.35x = 279,343,091.26
  5. Step 5: Solve for x
    x = 279,343,091.26/25,904.35
  6. Step 6: Final answer
    x = 10,783.64

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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.