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Finding the Fourth Proportional to 25,335.81, 37,992.78 and 9,742.50

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Solution

The fourth proportional to 25,335.81, 37,992.78 and 9,742.50 is: 14,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335.81 : 37,992.78 = 9,742.50 : x
  2. Step 2: Convert to fraction form
    25,335.81/37,992.78 = 9,742.50/x
  3. Step 3: Cross multiply
    25,335.81x = 37,992.78 × 9,742.50
  4. Step 4: Simplify right side
    25,335.81x = 370,144,659.15
  5. Step 5: Solve for x
    x = 370,144,659.15/25,335.81
  6. Step 6: Final answer
    x = 14,609.55

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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.