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Finding the Fourth Proportional to 19,252, 26,567.84 and 10,420

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Solution

The fourth proportional to 19,252, 26,567.84 and 10,420 is: 14,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252 : 26,567.84 = 10,420 : x
  2. Step 2: Convert to fraction form
    19,252/26,567.84 = 10,420/x
  3. Step 3: Cross multiply
    19,252x = 26,567.84 × 10,420
  4. Step 4: Simplify right side
    19,252x = 276,836,892.80
  5. Step 5: Solve for x
    x = 276,836,892.80/19,252
  6. Step 6: Final answer
    x = 14,379.64

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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.