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Finding the Fourth Proportional to 19,931.40, 29,853.90 and 16,475.40

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Solution

The fourth proportional to 19,931.40, 29,853.90 and 16,475.40 is: 24,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.40 : 29,853.90 = 16,475.40 : x
  2. Step 2: Convert to fraction form
    19,931.40/29,853.90 = 16,475.40/x
  3. Step 3: Cross multiply
    19,931.40x = 29,853.90 × 16,475.40
  4. Step 4: Simplify right side
    19,931.40x = 491,854,944.06
  5. Step 5: Solve for x
    x = 491,854,944.06/19,931.40
  6. Step 6: Final answer
    x = 24,677.39

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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.