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Finding the Fourth Proportional to 21,084.41, 29,096.43 and 12,009.77

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Solution

The fourth proportional to 21,084.41, 29,096.43 and 12,009.77 is: 16,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.41 : 29,096.43 = 12,009.77 : x
  2. Step 2: Convert to fraction form
    21,084.41/29,096.43 = 12,009.77/x
  3. Step 3: Cross multiply
    21,084.41x = 29,096.43 × 12,009.77
  4. Step 4: Simplify right side
    21,084.41x = 349,441,264.12
  5. Step 5: Solve for x
    x = 349,441,264.12/21,084.41
  6. Step 6: Final answer
    x = 16,573.45

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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.