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Finding the Fourth Proportional to 17,582.31, 24,263.52 and 9,515.94

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Solution

The fourth proportional to 17,582.31, 24,263.52 and 9,515.94 is: 13,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.31 : 24,263.52 = 9,515.94 : x
  2. Step 2: Convert to fraction form
    17,582.31/24,263.52 = 9,515.94/x
  3. Step 3: Cross multiply
    17,582.31x = 24,263.52 × 9,515.94
  4. Step 4: Simplify right side
    17,582.31x = 230,890,200.51
  5. Step 5: Solve for x
    x = 230,890,200.51/17,582.31
  6. Step 6: Final answer
    x = 13,131.96

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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.