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Finding the Fourth Proportional to 18,252, 25,187.76 and 9,868.50

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Solution

The fourth proportional to 18,252, 25,187.76 and 9,868.50 is: 13,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,252 : 25,187.76 = 9,868.50 : x
  2. Step 2: Convert to fraction form
    18,252/25,187.76 = 9,868.50/x
  3. Step 3: Cross multiply
    18,252x = 25,187.76 × 9,868.50
  4. Step 4: Simplify right side
    18,252x = 248,565,409.56
  5. Step 5: Solve for x
    x = 248,565,409.56/18,252
  6. Step 6: Final answer
    x = 13,618.53

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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.