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Finding the Fourth Proportional to 25,717.34, 38,590.50 and 11,866.34

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Solution

The fourth proportional to 25,717.34, 38,590.50 and 11,866.34 is: 17,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.34 : 38,590.50 = 11,866.34 : x
  2. Step 2: Convert to fraction form
    25,717.34/38,590.50 = 11,866.34/x
  3. Step 3: Cross multiply
    25,717.34x = 38,590.50 × 11,866.34
  4. Step 4: Simplify right side
    25,717.34x = 457,927,993.77
  5. Step 5: Solve for x
    x = 457,927,993.77/25,717.34
  6. Step 6: Final answer
    x = 17,806.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.