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Finding the Fourth Proportional to 21,971.98, 30,320.68 and 12,412.31

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Solution

The fourth proportional to 21,971.98, 30,320.68 and 12,412.31 is: 17,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.98 : 30,320.68 = 12,412.31 : x
  2. Step 2: Convert to fraction form
    21,971.98/30,320.68 = 12,412.31/x
  3. Step 3: Cross multiply
    21,971.98x = 30,320.68 × 12,412.31
  4. Step 4: Simplify right side
    21,971.98x = 376,349,617.51
  5. Step 5: Solve for x
    x = 376,349,617.51/21,971.98
  6. Step 6: Final answer
    x = 17,128.62

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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.