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Finding the Fourth Proportional to 18,824.14, 28,218.93 and 6,503.50

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Solution

The fourth proportional to 18,824.14, 28,218.93 and 6,503.50 is: 9,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824.14 : 28,218.93 = 6,503.50 : x
  2. Step 2: Convert to fraction form
    18,824.14/28,218.93 = 6,503.50/x
  3. Step 3: Cross multiply
    18,824.14x = 28,218.93 × 6,503.50
  4. Step 4: Simplify right side
    18,824.14x = 183,521,811.26
  5. Step 5: Solve for x
    x = 183,521,811.26/18,824.14
  6. Step 6: Final answer
    x = 9,749.28

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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.