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Finding the Fourth Proportional to 21,022.34, 29,009.34 and 11,590.70

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Solution

The fourth proportional to 21,022.34, 29,009.34 and 11,590.70 is: 15,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.34 : 29,009.34 = 11,590.70 : x
  2. Step 2: Convert to fraction form
    21,022.34/29,009.34 = 11,590.70/x
  3. Step 3: Cross multiply
    21,022.34x = 29,009.34 × 11,590.70
  4. Step 4: Simplify right side
    21,022.34x = 336,238,412.09
  5. Step 5: Solve for x
    x = 336,238,412.09/21,022.34
  6. Step 6: Final answer
    x = 15,994.34

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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.