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Finding the Fourth Proportional to 13,985.73, 19,300.30 and 7,698.11

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Solution

The fourth proportional to 13,985.73, 19,300.30 and 7,698.11 is: 10,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.73 : 19,300.30 = 7,698.11 : x
  2. Step 2: Convert to fraction form
    13,985.73/19,300.30 = 7,698.11/x
  3. Step 3: Cross multiply
    13,985.73x = 19,300.30 × 7,698.11
  4. Step 4: Simplify right side
    13,985.73x = 148,575,716.69
  5. Step 5: Solve for x
    x = 148,575,716.69/13,985.73
  6. Step 6: Final answer
    x = 10,623.38

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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.