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Finding the Fourth Proportional to 14,438.16, 19,892.97 and 9,714.24

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Solution

The fourth proportional to 14,438.16, 19,892.97 and 9,714.24 is: 13,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.16 : 19,892.97 = 9,714.24 : x
  2. Step 2: Convert to fraction form
    14,438.16/19,892.97 = 9,714.24/x
  3. Step 3: Cross multiply
    14,438.16x = 19,892.97 × 9,714.24
  4. Step 4: Simplify right side
    14,438.16x = 193,245,084.89
  5. Step 5: Solve for x
    x = 193,245,084.89/14,438.16
  6. Step 6: Final answer
    x = 13,384.33

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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.