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Finding the Fourth Proportional to 21,026.71, 29,017.20 and 11,594.71

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Solution

The fourth proportional to 21,026.71, 29,017.20 and 11,594.71 is: 16,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.71 : 29,017.20 = 11,594.71 : x
  2. Step 2: Convert to fraction form
    21,026.71/29,017.20 = 11,594.71/x
  3. Step 3: Cross multiply
    21,026.71x = 29,017.20 × 11,594.71
  4. Step 4: Simplify right side
    21,026.71x = 336,446,019.01
  5. Step 5: Solve for x
    x = 336,446,019.01/21,026.71
  6. Step 6: Final answer
    x = 16,000.89

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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.