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Finding the Fourth Proportional to 17,585.06, 24,279.09 and 13,823.42

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Solution

The fourth proportional to 17,585.06, 24,279.09 and 13,823.42 is: 19,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.06 : 24,279.09 = 13,823.42 : x
  2. Step 2: Convert to fraction form
    17,585.06/24,279.09 = 13,823.42/x
  3. Step 3: Cross multiply
    17,585.06x = 24,279.09 × 13,823.42
  4. Step 4: Simplify right side
    17,585.06x = 335,620,058.29
  5. Step 5: Solve for x
    x = 335,620,058.29/17,585.06
  6. Step 6: Final answer
    x = 19,085.52

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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.