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Finding the Fourth Proportional to 17,810.39, 24,578.60 and 9,852.58

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Solution

The fourth proportional to 17,810.39, 24,578.60 and 9,852.58 is: 13,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.39 : 24,578.60 = 9,852.58 : x
  2. Step 2: Convert to fraction form
    17,810.39/24,578.60 = 9,852.58/x
  3. Step 3: Cross multiply
    17,810.39x = 24,578.60 × 9,852.58
  4. Step 4: Simplify right side
    17,810.39x = 242,162,622.79
  5. Step 5: Solve for x
    x = 242,162,622.79/17,810.39
  6. Step 6: Final answer
    x = 13,596.71

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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.