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Finding the Fourth Proportional to 16,407, 24,610.50 and 7,040.97

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Solution

The fourth proportional to 16,407, 24,610.50 and 7,040.97 is: 10,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 24,610.50 = 7,040.97 : x
  2. Step 2: Convert to fraction form
    16,407/24,610.50 = 7,040.97/x
  3. Step 3: Cross multiply
    16,407x = 24,610.50 × 7,040.97
  4. Step 4: Simplify right side
    16,407x = 173,281,792.19
  5. Step 5: Solve for x
    x = 173,281,792.19/16,407
  6. Step 6: Final answer
    x = 10,561.46

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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.