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Finding the Fourth Proportional to 19,714.16, 27,199.08 and 14,049.80

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Solution

The fourth proportional to 19,714.16, 27,199.08 and 14,049.80 is: 19,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.16 : 27,199.08 = 14,049.80 : x
  2. Step 2: Convert to fraction form
    19,714.16/27,199.08 = 14,049.80/x
  3. Step 3: Cross multiply
    19,714.16x = 27,199.08 × 14,049.80
  4. Step 4: Simplify right side
    19,714.16x = 382,141,634.18
  5. Step 5: Solve for x
    x = 382,141,634.18/19,714.16
  6. Step 6: Final answer
    x = 19,384.12

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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.