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Finding the Fourth Proportional to 17,583.46, 24,264.58 and 9,625.52

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Solution

The fourth proportional to 17,583.46, 24,264.58 and 9,625.52 is: 13,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583.46 : 24,264.58 = 9,625.52 : x
  2. Step 2: Convert to fraction form
    17,583.46/24,264.58 = 9,625.52/x
  3. Step 3: Cross multiply
    17,583.46x = 24,264.58 × 9,625.52
  4. Step 4: Simplify right side
    17,583.46x = 233,559,200.08
  5. Step 5: Solve for x
    x = 233,559,200.08/17,583.46
  6. Step 6: Final answer
    x = 13,282.89

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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.