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Finding the Fourth Proportional to 22,099.64, 30,494.07 and 12,666.38

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Solution

The fourth proportional to 22,099.64, 30,494.07 and 12,666.38 is: 17,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.64 : 30,494.07 = 12,666.38 : x
  2. Step 2: Convert to fraction form
    22,099.64/30,494.07 = 12,666.38/x
  3. Step 3: Cross multiply
    22,099.64x = 30,494.07 × 12,666.38
  4. Step 4: Simplify right side
    22,099.64x = 386,249,325.90
  5. Step 5: Solve for x
    x = 386,249,325.90/22,099.64
  6. Step 6: Final answer
    x = 17,477.63

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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.