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Finding the Fourth Proportional to 17,744.90, 26,561.98 and 13,070.19

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Solution

The fourth proportional to 17,744.90, 26,561.98 and 13,070.19 is: 19,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.90 : 26,561.98 = 13,070.19 : x
  2. Step 2: Convert to fraction form
    17,744.90/26,561.98 = 13,070.19/x
  3. Step 3: Cross multiply
    17,744.90x = 26,561.98 × 13,070.19
  4. Step 4: Simplify right side
    17,744.90x = 347,170,060.03
  5. Step 5: Solve for x
    x = 347,170,060.03/17,744.90
  6. Step 6: Final answer
    x = 19,564.50

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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.