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Finding the Fourth Proportional to 15,757.90, 21,751.47 and 14,076.39

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Solution

The fourth proportional to 15,757.90, 21,751.47 and 14,076.39 is: 19,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.90 : 21,751.47 = 14,076.39 : x
  2. Step 2: Convert to fraction form
    15,757.90/21,751.47 = 14,076.39/x
  3. Step 3: Cross multiply
    15,757.90x = 21,751.47 × 14,076.39
  4. Step 4: Simplify right side
    15,757.90x = 306,182,066.04
  5. Step 5: Solve for x
    x = 306,182,066.04/15,757.90
  6. Step 6: Final answer
    x = 19,430.39

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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.