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Finding the Fourth Proportional to 16,008.75, 24,013.26 and 5,620.50

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Solution

The fourth proportional to 16,008.75, 24,013.26 and 5,620.50 is: 8,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.75 : 24,013.26 = 5,620.50 : x
  2. Step 2: Convert to fraction form
    16,008.75/24,013.26 = 5,620.50/x
  3. Step 3: Cross multiply
    16,008.75x = 24,013.26 × 5,620.50
  4. Step 4: Simplify right side
    16,008.75x = 134,966,527.83
  5. Step 5: Solve for x
    x = 134,966,527.83/16,008.75
  6. Step 6: Final answer
    x = 8,430.80

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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.