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Finding the Fourth Proportional to 21,278.32, 31,928.42 and 9,440.21

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Solution

The fourth proportional to 21,278.32, 31,928.42 and 9,440.21 is: 14,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.32 : 31,928.42 = 9,440.21 : x
  2. Step 2: Convert to fraction form
    21,278.32/31,928.42 = 9,440.21/x
  3. Step 3: Cross multiply
    21,278.32x = 31,928.42 × 9,440.21
  4. Step 4: Simplify right side
    21,278.32x = 301,411,093.19
  5. Step 5: Solve for x
    x = 301,411,093.19/21,278.32
  6. Step 6: Final answer
    x = 14,165.18

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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.