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Finding the Fourth Proportional to 15,892.71, 23,834.52 and 6,405

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Solution

The fourth proportional to 15,892.71, 23,834.52 and 6,405 is: 9,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.71 : 23,834.52 = 6,405 : x
  2. Step 2: Convert to fraction form
    15,892.71/23,834.52 = 6,405/x
  3. Step 3: Cross multiply
    15,892.71x = 23,834.52 × 6,405
  4. Step 4: Simplify right side
    15,892.71x = 152,660,100.60
  5. Step 5: Solve for x
    x = 152,660,100.60/15,892.71
  6. Step 6: Final answer
    x = 9,605.67

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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.