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Finding the Fourth Proportional to 19,081.14, 26,333.59 and 10,586

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Solution

The fourth proportional to 19,081.14, 26,333.59 and 10,586 is: 14,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,081.14 : 26,333.59 = 10,586 : x
  2. Step 2: Convert to fraction form
    19,081.14/26,333.59 = 10,586/x
  3. Step 3: Cross multiply
    19,081.14x = 26,333.59 × 10,586
  4. Step 4: Simplify right side
    19,081.14x = 278,767,383.74
  5. Step 5: Solve for x
    x = 278,767,383.74/19,081.14
  6. Step 6: Final answer
    x = 14,609.58

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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.