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Finding the Fourth Proportional to 21,044.11, 31,567.24 and 19,980

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Solution

The fourth proportional to 21,044.11, 31,567.24 and 19,980 is: 29,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,044.11 : 31,567.24 = 19,980 : x
  2. Step 2: Convert to fraction form
    21,044.11/31,567.24 = 19,980/x
  3. Step 3: Cross multiply
    21,044.11x = 31,567.24 × 19,980
  4. Step 4: Simplify right side
    21,044.11x = 630,713,455.20
  5. Step 5: Solve for x
    x = 630,713,455.20/21,044.11
  6. Step 6: Final answer
    x = 29,971.02

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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.