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Finding the Fourth Proportional to 21,314.31, 29,415.35 and 12,361.74

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Solution

The fourth proportional to 21,314.31, 29,415.35 and 12,361.74 is: 17,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.31 : 29,415.35 = 12,361.74 : x
  2. Step 2: Convert to fraction form
    21,314.31/29,415.35 = 12,361.74/x
  3. Step 3: Cross multiply
    21,314.31x = 29,415.35 × 12,361.74
  4. Step 4: Simplify right side
    21,314.31x = 363,624,908.71
  5. Step 5: Solve for x
    x = 363,624,908.71/21,314.31
  6. Step 6: Final answer
    x = 17,060.13

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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.