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Finding the Fourth Proportional to 18,468, 25,485.84 and 10,084.50

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Solution

The fourth proportional to 18,468, 25,485.84 and 10,084.50 is: 13,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 25,485.84 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    18,468/25,485.84 = 10,084.50/x
  3. Step 3: Cross multiply
    18,468x = 25,485.84 × 10,084.50
  4. Step 4: Simplify right side
    18,468x = 257,011,953.48
  5. Step 5: Solve for x
    x = 257,011,953.48/18,468
  6. Step 6: Final answer
    x = 13,916.61

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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.