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Finding the Fourth Proportional to 25,411.79, 38,141.09 and 12,940.80

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Solution

The fourth proportional to 25,411.79, 38,141.09 and 12,940.80 is: 19,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.79 : 38,141.09 = 12,940.80 : x
  2. Step 2: Convert to fraction form
    25,411.79/38,141.09 = 12,940.80/x
  3. Step 3: Cross multiply
    25,411.79x = 38,141.09 × 12,940.80
  4. Step 4: Simplify right side
    25,411.79x = 493,576,152.77
  5. Step 5: Solve for x
    x = 493,576,152.77/25,411.79
  6. Step 6: Final answer
    x = 19,423.12

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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.