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Finding the Fourth Proportional to 21,056.74, 29,055 and 12,102.57

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Solution

The fourth proportional to 21,056.74, 29,055 and 12,102.57 is: 16,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.74 : 29,055 = 12,102.57 : x
  2. Step 2: Convert to fraction form
    21,056.74/29,055 = 12,102.57/x
  3. Step 3: Cross multiply
    21,056.74x = 29,055 × 12,102.57
  4. Step 4: Simplify right side
    21,056.74x = 351,640,280.31
  5. Step 5: Solve for x
    x = 351,640,280.31/21,056.74
  6. Step 6: Final answer
    x = 16,699.65

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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.