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Finding the Fourth Proportional to 21,043.11, 31,565.74 and 19,979

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Solution

The fourth proportional to 21,043.11, 31,565.74 and 19,979 is: 29,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.11 : 31,565.74 = 19,979 : x
  2. Step 2: Convert to fraction form
    21,043.11/31,565.74 = 19,979/x
  3. Step 3: Cross multiply
    21,043.11x = 31,565.74 × 19,979
  4. Step 4: Simplify right side
    21,043.11x = 630,651,919.46
  5. Step 5: Solve for x
    x = 630,651,919.46/21,043.11
  6. Step 6: Final answer
    x = 29,969.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.