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Finding the Fourth Proportional to 17,582.77, 24,239.01 and 12,538.24

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Solution

The fourth proportional to 17,582.77, 24,239.01 and 12,538.24 is: 17,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.77 : 24,239.01 = 12,538.24 : x
  2. Step 2: Convert to fraction form
    17,582.77/24,239.01 = 12,538.24/x
  3. Step 3: Cross multiply
    17,582.77x = 24,239.01 × 12,538.24
  4. Step 4: Simplify right side
    17,582.77x = 303,914,647.51
  5. Step 5: Solve for x
    x = 303,914,647.51/17,582.77
  6. Step 6: Final answer
    x = 17,284.80

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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.