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Finding the Fourth Proportional to 14,017, 19,343.46 and 7,729.42

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Solution

The fourth proportional to 14,017, 19,343.46 and 7,729.42 is: 10,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017 : 19,343.46 = 7,729.42 : x
  2. Step 2: Convert to fraction form
    14,017/19,343.46 = 7,729.42/x
  3. Step 3: Cross multiply
    14,017x = 19,343.46 × 7,729.42
  4. Step 4: Simplify right side
    14,017x = 149,513,726.59
  5. Step 5: Solve for x
    x = 149,513,726.59/14,017
  6. Step 6: Final answer
    x = 10,666.60

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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.