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Finding the Fourth Proportional to 25,913.56, 38,846.56 and 10,129

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Solution

The fourth proportional to 25,913.56, 38,846.56 and 10,129 is: 15,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,913.56 : 38,846.56 = 10,129 : x
  2. Step 2: Convert to fraction form
    25,913.56/38,846.56 = 10,129/x
  3. Step 3: Cross multiply
    25,913.56x = 38,846.56 × 10,129
  4. Step 4: Simplify right side
    25,913.56x = 393,476,806.24
  5. Step 5: Solve for x
    x = 393,476,806.24/25,913.56
  6. Step 6: Final answer
    x = 15,184.20

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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.