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Finding the Fourth Proportional to 25,353.34, 38,035 and 8,709.32

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Solution

The fourth proportional to 25,353.34, 38,035 and 8,709.32 is: 13,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,353.34 : 38,035 = 8,709.32 : x
  2. Step 2: Convert to fraction form
    25,353.34/38,035 = 8,709.32/x
  3. Step 3: Cross multiply
    25,353.34x = 38,035 × 8,709.32
  4. Step 4: Simplify right side
    25,353.34x = 331,258,986.20
  5. Step 5: Solve for x
    x = 331,258,986.20/25,353.34
  6. Step 6: Final answer
    x = 13,065.69

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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.