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Finding the Fourth Proportional to 19,726, 29,594.13 and 5,875

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Solution

The fourth proportional to 19,726, 29,594.13 and 5,875 is: 8,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726 : 29,594.13 = 5,875 : x
  2. Step 2: Convert to fraction form
    19,726/29,594.13 = 5,875/x
  3. Step 3: Cross multiply
    19,726x = 29,594.13 × 5,875
  4. Step 4: Simplify right side
    19,726x = 173,865,513.75
  5. Step 5: Solve for x
    x = 173,865,513.75/19,726
  6. Step 6: Final answer
    x = 8,814.03

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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.