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Finding the Fourth Proportional to 21,398.16, 29,519.64 and 13,846.95

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Solution

The fourth proportional to 21,398.16, 29,519.64 and 13,846.95 is: 19,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.16 : 29,519.64 = 13,846.95 : x
  2. Step 2: Convert to fraction form
    21,398.16/29,519.64 = 13,846.95/x
  3. Step 3: Cross multiply
    21,398.16x = 29,519.64 × 13,846.95
  4. Step 4: Simplify right side
    21,398.16x = 408,756,979.10
  5. Step 5: Solve for x
    x = 408,756,979.10/21,398.16
  6. Step 6: Final answer
    x = 19,102.44

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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.