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Finding the Fourth Proportional to 13,842.90, 20,710.08 and 10,699.02

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Solution

The fourth proportional to 13,842.90, 20,710.08 and 10,699.02 is: 16,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.90 : 20,710.08 = 10,699.02 : x
  2. Step 2: Convert to fraction form
    13,842.90/20,710.08 = 10,699.02/x
  3. Step 3: Cross multiply
    13,842.90x = 20,710.08 × 10,699.02
  4. Step 4: Simplify right side
    13,842.90x = 221,577,560.12
  5. Step 5: Solve for x
    x = 221,577,560.12/13,842.90
  6. Step 6: Final answer
    x = 16,006.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.