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Finding the Fourth Proportional to 24,784.23, 37,172.04 and 8,144.37

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Solution

The fourth proportional to 24,784.23, 37,172.04 and 8,144.37 is: 12,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,784.23 : 37,172.04 = 8,144.37 : x
  2. Step 2: Convert to fraction form
    24,784.23/37,172.04 = 8,144.37/x
  3. Step 3: Cross multiply
    24,784.23x = 37,172.04 × 8,144.37
  4. Step 4: Simplify right side
    24,784.23x = 302,742,847.41
  5. Step 5: Solve for x
    x = 302,742,847.41/24,784.23
  6. Step 6: Final answer
    x = 12,215.14

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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.