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Finding the Fourth Proportional to 17,857.39, 24,642.60 and 10,782.58

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Solution

The fourth proportional to 17,857.39, 24,642.60 and 10,782.58 is: 14,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.39 : 24,642.60 = 10,782.58 : x
  2. Step 2: Convert to fraction form
    17,857.39/24,642.60 = 10,782.58/x
  3. Step 3: Cross multiply
    17,857.39x = 24,642.60 × 10,782.58
  4. Step 4: Simplify right side
    17,857.39x = 265,710,805.91
  5. Step 5: Solve for x
    x = 265,710,805.91/17,857.39
  6. Step 6: Final answer
    x = 14,879.60

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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.