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Finding the Fourth Proportional to 13,788.47, 19,028.51 and 7,820.39

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Solution

The fourth proportional to 13,788.47, 19,028.51 and 7,820.39 is: 10,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.47 : 19,028.51 = 7,820.39 : x
  2. Step 2: Convert to fraction form
    13,788.47/19,028.51 = 7,820.39/x
  3. Step 3: Cross multiply
    13,788.47x = 19,028.51 × 7,820.39
  4. Step 4: Simplify right side
    13,788.47x = 148,810,369.32
  5. Step 5: Solve for x
    x = 148,810,369.32/13,788.47
  6. Step 6: Final answer
    x = 10,792.38

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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.