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Finding the Fourth Proportional to 22,096.80, 30,486.72 and 13,590

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Solution

The fourth proportional to 22,096.80, 30,486.72 and 13,590 is: 18,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.80 : 30,486.72 = 13,590 : x
  2. Step 2: Convert to fraction form
    22,096.80/30,486.72 = 13,590/x
  3. Step 3: Cross multiply
    22,096.80x = 30,486.72 × 13,590
  4. Step 4: Simplify right side
    22,096.80x = 414,314,524.80
  5. Step 5: Solve for x
    x = 414,314,524.80/22,096.80
  6. Step 6: Final answer
    x = 18,749.98

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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.