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Finding the Fourth Proportional to 13,862.84, 19,131 and 7,575.62

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Solution

The fourth proportional to 13,862.84, 19,131 and 7,575.62 is: 10,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.84 : 19,131 = 7,575.62 : x
  2. Step 2: Convert to fraction form
    13,862.84/19,131 = 7,575.62/x
  3. Step 3: Cross multiply
    13,862.84x = 19,131 × 7,575.62
  4. Step 4: Simplify right side
    13,862.84x = 144,929,186.22
  5. Step 5: Solve for x
    x = 144,929,186.22/13,862.84
  6. Step 6: Final answer
    x = 10,454.51

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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.