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Finding the Fourth Proportional to 14,460, 19,996.80 and 14,197.44

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Solution

The fourth proportional to 14,460, 19,996.80 and 14,197.44 is: 19,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460 : 19,996.80 = 14,197.44 : x
  2. Step 2: Convert to fraction form
    14,460/19,996.80 = 14,197.44/x
  3. Step 3: Cross multiply
    14,460x = 19,996.80 × 14,197.44
  4. Step 4: Simplify right side
    14,460x = 283,903,368.19
  5. Step 5: Solve for x
    x = 283,903,368.19/14,460
  6. Step 6: Final answer
    x = 19,633.70

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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.