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Finding the Fourth Proportional to 13,047.78, 19,571.42 and 5,256.40

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Solution

The fourth proportional to 13,047.78, 19,571.42 and 5,256.40 is: 7,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.78 : 19,571.42 = 5,256.40 : x
  2. Step 2: Convert to fraction form
    13,047.78/19,571.42 = 5,256.40/x
  3. Step 3: Cross multiply
    13,047.78x = 19,571.42 × 5,256.40
  4. Step 4: Simplify right side
    13,047.78x = 102,875,212.09
  5. Step 5: Solve for x
    x = 102,875,212.09/13,047.78
  6. Step 6: Final answer
    x = 7,884.50

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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.