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Finding the Fourth Proportional to 25,722.45, 38,590.98 and 8,193.63

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Solution

The fourth proportional to 25,722.45, 38,590.98 and 8,193.63 is: 12,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722.45 : 38,590.98 = 8,193.63 : x
  2. Step 2: Convert to fraction form
    25,722.45/38,590.98 = 8,193.63/x
  3. Step 3: Cross multiply
    25,722.45x = 38,590.98 × 8,193.63
  4. Step 4: Simplify right side
    25,722.45x = 316,200,211.46
  5. Step 5: Solve for x
    x = 316,200,211.46/25,722.45
  6. Step 6: Final answer
    x = 12,292.77

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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.