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Finding the Fourth Proportional to 18,502, 25,532.76 and 10,118.50

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Solution

The fourth proportional to 18,502, 25,532.76 and 10,118.50 is: 13,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502 : 25,532.76 = 10,118.50 : x
  2. Step 2: Convert to fraction form
    18,502/25,532.76 = 10,118.50/x
  3. Step 3: Cross multiply
    18,502x = 25,532.76 × 10,118.50
  4. Step 4: Simplify right side
    18,502x = 258,353,232.06
  5. Step 5: Solve for x
    x = 258,353,232.06/18,502
  6. Step 6: Final answer
    x = 13,963.53

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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.