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Finding the Fourth Proportional to 21,376.48, 29,495.28 and 12,424

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Solution

The fourth proportional to 21,376.48, 29,495.28 and 12,424 is: 17,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.48 : 29,495.28 = 12,424 : x
  2. Step 2: Convert to fraction form
    21,376.48/29,495.28 = 12,424/x
  3. Step 3: Cross multiply
    21,376.48x = 29,495.28 × 12,424
  4. Step 4: Simplify right side
    21,376.48x = 366,449,358.72
  5. Step 5: Solve for x
    x = 366,449,358.72/21,376.48
  6. Step 6: Final answer
    x = 17,142.64

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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.