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Finding the Fourth Proportional to 13,571.84, 18,726 and 8,534.72

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Solution

The fourth proportional to 13,571.84, 18,726 and 8,534.72 is: 11,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.84 : 18,726 = 8,534.72 : x
  2. Step 2: Convert to fraction form
    13,571.84/18,726 = 8,534.72/x
  3. Step 3: Cross multiply
    13,571.84x = 18,726 × 8,534.72
  4. Step 4: Simplify right side
    13,571.84x = 159,821,166.72
  5. Step 5: Solve for x
    x = 159,821,166.72/13,571.84
  6. Step 6: Final answer
    x = 11,775.94

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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.