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Finding the Fourth Proportional to 17,577.34, 24,268.06 and 15,685.68

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Solution

The fourth proportional to 17,577.34, 24,268.06 and 15,685.68 is: 21,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.34 : 24,268.06 = 15,685.68 : x
  2. Step 2: Convert to fraction form
    17,577.34/24,268.06 = 15,685.68/x
  3. Step 3: Cross multiply
    17,577.34x = 24,268.06 × 15,685.68
  4. Step 4: Simplify right side
    17,577.34x = 380,660,841.00
  5. Step 5: Solve for x
    x = 380,660,841.00/17,577.34
  6. Step 6: Final answer
    x = 21,656.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.