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Finding the Fourth Proportional to 17,583.76, 24,265.38 and 9,625.88

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Solution

The fourth proportional to 17,583.76, 24,265.38 and 9,625.88 is: 13,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.76 : 24,265.38 = 9,625.88 : x
  2. Step 2: Convert to fraction form
    17,583.76/24,265.38 = 9,625.88/x
  3. Step 3: Cross multiply
    17,583.76x = 24,265.38 × 9,625.88
  4. Step 4: Simplify right side
    17,583.76x = 233,575,636.03
  5. Step 5: Solve for x
    x = 233,575,636.03/17,583.76
  6. Step 6: Final answer
    x = 13,283.60

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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.