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Finding the Fourth Proportional to 18,762.50, 28,112.56 and 13,204.16

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Solution

The fourth proportional to 18,762.50, 28,112.56 and 13,204.16 is: 19,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,762.50 : 28,112.56 = 13,204.16 : x
  2. Step 2: Convert to fraction form
    18,762.50/28,112.56 = 13,204.16/x
  3. Step 3: Cross multiply
    18,762.50x = 28,112.56 × 13,204.16
  4. Step 4: Simplify right side
    18,762.50x = 371,202,740.25
  5. Step 5: Solve for x
    x = 371,202,740.25/18,762.50
  6. Step 6: Final answer
    x = 19,784.29

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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.