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Finding the Fourth Proportional to 21,894.35, 32,846.14 and 7,102.12

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Solution

The fourth proportional to 21,894.35, 32,846.14 and 7,102.12 is: 10,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.35 : 32,846.14 = 7,102.12 : x
  2. Step 2: Convert to fraction form
    21,894.35/32,846.14 = 7,102.12/x
  3. Step 3: Cross multiply
    21,894.35x = 32,846.14 × 7,102.12
  4. Step 4: Simplify right side
    21,894.35x = 233,277,154.58
  5. Step 5: Solve for x
    x = 233,277,154.58/21,894.35
  6. Step 6: Final answer
    x = 10,654.67

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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.