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Finding the Fourth Proportional to 19,921.40, 29,838.90 and 16,465.40

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Solution

The fourth proportional to 19,921.40, 29,838.90 and 16,465.40 is: 24,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.40 : 29,838.90 = 16,465.40 : x
  2. Step 2: Convert to fraction form
    19,921.40/29,838.90 = 16,465.40/x
  3. Step 3: Cross multiply
    19,921.40x = 29,838.90 × 16,465.40
  4. Step 4: Simplify right side
    19,921.40x = 491,309,424.06
  5. Step 5: Solve for x
    x = 491,309,424.06/19,921.40
  6. Step 6: Final answer
    x = 24,662.39

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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.