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Finding the Fourth Proportional to 18,823.50, 25,977.24 and 10,440

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Solution

The fourth proportional to 18,823.50, 25,977.24 and 10,440 is: 14,407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.50 : 25,977.24 = 10,440 : x
  2. Step 2: Convert to fraction form
    18,823.50/25,977.24 = 10,440/x
  3. Step 3: Cross multiply
    18,823.50x = 25,977.24 × 10,440
  4. Step 4: Simplify right side
    18,823.50x = 271,202,385.60
  5. Step 5: Solve for x
    x = 271,202,385.60/18,823.50
  6. Step 6: Final answer
    x = 14,407.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.