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Finding the Fourth Proportional to 24,714.68, 37,071.72 and 9,923.32

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Solution

The fourth proportional to 24,714.68, 37,071.72 and 9,923.32 is: 14,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.68 : 37,071.72 = 9,923.32 : x
  2. Step 2: Convert to fraction form
    24,714.68/37,071.72 = 9,923.32/x
  3. Step 3: Cross multiply
    24,714.68x = 37,071.72 × 9,923.32
  4. Step 4: Simplify right side
    24,714.68x = 367,874,540.51
  5. Step 5: Solve for x
    x = 367,874,540.51/24,714.68
  6. Step 6: Final answer
    x = 14,884.86

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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.