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Finding the Fourth Proportional to 24,467.76, 36,708.48 and 10,428.48

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Solution

The fourth proportional to 24,467.76, 36,708.48 and 10,428.48 is: 15,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.76 : 36,708.48 = 10,428.48 : x
  2. Step 2: Convert to fraction form
    24,467.76/36,708.48 = 10,428.48/x
  3. Step 3: Cross multiply
    24,467.76x = 36,708.48 × 10,428.48
  4. Step 4: Simplify right side
    24,467.76x = 382,813,649.51
  5. Step 5: Solve for x
    x = 382,813,649.51/24,467.76
  6. Step 6: Final answer
    x = 15,645.64

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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.