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Finding the Fourth Proportional to 22,649.05, 31,256 and 12,578.14

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Solution

The fourth proportional to 22,649.05, 31,256 and 12,578.14 is: 17,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.05 : 31,256 = 12,578.14 : x
  2. Step 2: Convert to fraction form
    22,649.05/31,256 = 12,578.14/x
  3. Step 3: Cross multiply
    22,649.05x = 31,256 × 12,578.14
  4. Step 4: Simplify right side
    22,649.05x = 393,142,343.84
  5. Step 5: Solve for x
    x = 393,142,343.84/22,649.05
  6. Step 6: Final answer
    x = 17,358.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.