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Finding the Fourth Proportional to 14,383.68, 19,829.16 and 14,186.40

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Solution

The fourth proportional to 14,383.68, 19,829.16 and 14,186.40 is: 19,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.68 : 19,829.16 = 14,186.40 : x
  2. Step 2: Convert to fraction form
    14,383.68/19,829.16 = 14,186.40/x
  3. Step 3: Cross multiply
    14,383.68x = 19,829.16 × 14,186.40
  4. Step 4: Simplify right side
    14,383.68x = 281,304,395.42
  5. Step 5: Solve for x
    x = 281,304,395.42/14,383.68
  6. Step 6: Final answer
    x = 19,557.19

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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.