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Finding the Fourth Proportional to 19,594.13, 27,047.61 and 13,224.48

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Solution

The fourth proportional to 19,594.13, 27,047.61 and 13,224.48 is: 18,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.13 : 27,047.61 = 13,224.48 : x
  2. Step 2: Convert to fraction form
    19,594.13/27,047.61 = 13,224.48/x
  3. Step 3: Cross multiply
    19,594.13x = 27,047.61 × 13,224.48
  4. Step 4: Simplify right side
    19,594.13x = 357,690,577.49
  5. Step 5: Solve for x
    x = 357,690,577.49/19,594.13
  6. Step 6: Final answer
    x = 18,254.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.