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Finding the Fourth Proportional to 24,815.16, 37,228.37 and 8,176.86

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Solution

The fourth proportional to 24,815.16, 37,228.37 and 8,176.86 is: 12,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,815.16 : 37,228.37 = 8,176.86 : x
  2. Step 2: Convert to fraction form
    24,815.16/37,228.37 = 8,176.86/x
  3. Step 3: Cross multiply
    24,815.16x = 37,228.37 × 8,176.86
  4. Step 4: Simplify right side
    24,815.16x = 304,411,128.63
  5. Step 5: Solve for x
    x = 304,411,128.63/24,815.16
  6. Step 6: Final answer
    x = 12,267.14

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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.