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Finding the Fourth Proportional to 29,717.52, 41,010.64 and 16,290

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Solution

The fourth proportional to 29,717.52, 41,010.64 and 16,290 is: 22,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,717.52 : 41,010.64 = 16,290 : x
  2. Step 2: Convert to fraction form
    29,717.52/41,010.64 = 16,290/x
  3. Step 3: Cross multiply
    29,717.52x = 41,010.64 × 16,290
  4. Step 4: Simplify right side
    29,717.52x = 668,063,325.60
  5. Step 5: Solve for x
    x = 668,063,325.60/29,717.52
  6. Step 6: Final answer
    x = 22,480.45

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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.