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Finding the Fourth Proportional to 17,077.80, 25,643.10 and 9,301.80

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Solution

The fourth proportional to 17,077.80, 25,643.10 and 9,301.80 is: 13,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.80 : 25,643.10 = 9,301.80 : x
  2. Step 2: Convert to fraction form
    17,077.80/25,643.10 = 9,301.80/x
  3. Step 3: Cross multiply
    17,077.80x = 25,643.10 × 9,301.80
  4. Step 4: Simplify right side
    17,077.80x = 238,526,987.58
  5. Step 5: Solve for x
    x = 238,526,987.58/17,077.80
  6. Step 6: Final answer
    x = 13,967.08

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