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Finding the Fourth Proportional to 13,858.88, 19,125.65 and 7,571.66

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Solution

The fourth proportional to 13,858.88, 19,125.65 and 7,571.66 is: 10,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.88 : 19,125.65 = 7,571.66 : x
  2. Step 2: Convert to fraction form
    13,858.88/19,125.65 = 7,571.66/x
  3. Step 3: Cross multiply
    13,858.88x = 19,125.65 × 7,571.66
  4. Step 4: Simplify right side
    13,858.88x = 144,812,842.38
  5. Step 5: Solve for x
    x = 144,812,842.38/13,858.88
  6. Step 6: Final answer
    x = 10,449.11

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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.