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Finding the Fourth Proportional to 17,582.56, 24,262.98 and 9,623.24

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Solution

The fourth proportional to 17,582.56, 24,262.98 and 9,623.24 is: 13,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.56 : 24,262.98 = 9,623.24 : x
  2. Step 2: Convert to fraction form
    17,582.56/24,262.98 = 9,623.24/x
  3. Step 3: Cross multiply
    17,582.56x = 24,262.98 × 9,623.24
  4. Step 4: Simplify right side
    17,582.56x = 233,488,479.66
  5. Step 5: Solve for x
    x = 233,488,479.66/17,582.56
  6. Step 6: Final answer
    x = 13,279.55

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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.