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Finding the Fourth Proportional to 21,954.14, 32,931.26 and 5,314.11

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Solution

The fourth proportional to 21,954.14, 32,931.26 and 5,314.11 is: 7,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.14 : 32,931.26 = 5,314.11 : x
  2. Step 2: Convert to fraction form
    21,954.14/32,931.26 = 5,314.11/x
  3. Step 3: Cross multiply
    21,954.14x = 32,931.26 × 5,314.11
  4. Step 4: Simplify right side
    21,954.14x = 175,000,207.94
  5. Step 5: Solve for x
    x = 175,000,207.94/21,954.14
  6. Step 6: Final answer
    x = 7,971.17

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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.