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Finding the Fourth Proportional to 21,682.86, 29,927.35 and 14,116.02

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Solution

The fourth proportional to 21,682.86, 29,927.35 and 14,116.02 is: 19,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.86 : 29,927.35 = 14,116.02 : x
  2. Step 2: Convert to fraction form
    21,682.86/29,927.35 = 14,116.02/x
  3. Step 3: Cross multiply
    21,682.86x = 29,927.35 × 14,116.02
  4. Step 4: Simplify right side
    21,682.86x = 422,454,921.51
  5. Step 5: Solve for x
    x = 422,454,921.51/21,682.86
  6. Step 6: Final answer
    x = 19,483.36

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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.