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Finding the Fourth Proportional to 19,773.12, 27,264.48 and 14,796.48

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Solution

The fourth proportional to 19,773.12, 27,264.48 and 14,796.48 is: 20,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773.12 : 27,264.48 = 14,796.48 : x
  2. Step 2: Convert to fraction form
    19,773.12/27,264.48 = 14,796.48/x
  3. Step 3: Cross multiply
    19,773.12x = 27,264.48 × 14,796.48
  4. Step 4: Simplify right side
    19,773.12x = 403,418,333.03
  5. Step 5: Solve for x
    x = 403,418,333.03/19,773.12
  6. Step 6: Final answer
    x = 20,402.36

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1.5x scale

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.