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Finding the Fourth Proportional to 13,810.56, 20,615.64 and 12,782.64

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Solution

The fourth proportional to 13,810.56, 20,615.64 and 12,782.64 is: 19,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.56 : 20,615.64 = 12,782.64 : x
  2. Step 2: Convert to fraction form
    13,810.56/20,615.64 = 12,782.64/x
  3. Step 3: Cross multiply
    13,810.56x = 20,615.64 × 12,782.64
  4. Step 4: Simplify right side
    13,810.56x = 263,522,304.49
  5. Step 5: Solve for x
    x = 263,522,304.49/13,810.56
  6. Step 6: Final answer
    x = 19,081.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.