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Finding the Fourth Proportional to 21,411.76, 29,548.44 and 12,914.32

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Solution

The fourth proportional to 21,411.76, 29,548.44 and 12,914.32 is: 17,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.76 : 29,548.44 = 12,914.32 : x
  2. Step 2: Convert to fraction form
    21,411.76/29,548.44 = 12,914.32/x
  3. Step 3: Cross multiply
    21,411.76x = 29,548.44 × 12,914.32
  4. Step 4: Simplify right side
    21,411.76x = 381,598,009.66
  5. Step 5: Solve for x
    x = 381,598,009.66/21,411.76
  6. Step 6: Final answer
    x = 17,821.89

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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.