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Finding the Fourth Proportional to 16,010.61, 23,978.97 and 15,457.02

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Solution

The fourth proportional to 16,010.61, 23,978.97 and 15,457.02 is: 23,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.61 : 23,978.97 = 15,457.02 : x
  2. Step 2: Convert to fraction form
    16,010.61/23,978.97 = 15,457.02/x
  3. Step 3: Cross multiply
    16,010.61x = 23,978.97 × 15,457.02
  4. Step 4: Simplify right side
    16,010.61x = 370,643,418.87
  5. Step 5: Solve for x
    x = 370,643,418.87/16,010.61
  6. Step 6: Final answer
    x = 23,149.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.