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Finding the Fourth Proportional to 24,762.75, 37,130.68 and 11,246.50

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Solution

The fourth proportional to 24,762.75, 37,130.68 and 11,246.50 is: 16,863.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.75 : 37,130.68 = 11,246.50 : x
  2. Step 2: Convert to fraction form
    24,762.75/37,130.68 = 11,246.50/x
  3. Step 3: Cross multiply
    24,762.75x = 37,130.68 × 11,246.50
  4. Step 4: Simplify right side
    24,762.75x = 417,590,192.62
  5. Step 5: Solve for x
    x = 417,590,192.62/24,762.75
  6. Step 6: Final answer
    x = 16,863.64

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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.