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Finding the Fourth Proportional to 16,009.75, 24,014.76 and 5,621.50

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Solution

The fourth proportional to 16,009.75, 24,014.76 and 5,621.50 is: 8,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.75 : 24,014.76 = 5,621.50 : x
  2. Step 2: Convert to fraction form
    16,009.75/24,014.76 = 5,621.50/x
  3. Step 3: Cross multiply
    16,009.75x = 24,014.76 × 5,621.50
  4. Step 4: Simplify right side
    16,009.75x = 134,998,973.34
  5. Step 5: Solve for x
    x = 134,998,973.34/16,009.75
  6. Step 6: Final answer
    x = 8,432.30

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1.5x scale

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.