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Finding the Fourth Proportional to 25,616.84, 38,422.10 and 6,898.34

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Solution

The fourth proportional to 25,616.84, 38,422.10 and 6,898.34 is: 10,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.84 : 38,422.10 = 6,898.34 : x
  2. Step 2: Convert to fraction form
    25,616.84/38,422.10 = 6,898.34/x
  3. Step 3: Cross multiply
    25,616.84x = 38,422.10 × 6,898.34
  4. Step 4: Simplify right side
    25,616.84x = 265,048,709.31
  5. Step 5: Solve for x
    x = 265,048,709.31/25,616.84
  6. Step 6: Final answer
    x = 10,346.66

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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.