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Finding the Fourth Proportional to 19,709.52, 27,187.32 and 14,397.84

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Solution

The fourth proportional to 19,709.52, 27,187.32 and 14,397.84 is: 19,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.52 : 27,187.32 = 14,397.84 : x
  2. Step 2: Convert to fraction form
    19,709.52/27,187.32 = 14,397.84/x
  3. Step 3: Cross multiply
    19,709.52x = 27,187.32 × 14,397.84
  4. Step 4: Simplify right side
    19,709.52x = 391,438,683.39
  5. Step 5: Solve for x
    x = 391,438,683.39/19,709.52
  6. Step 6: Final answer
    x = 19,860.39

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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.