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Finding the Fourth Proportional to 19,830.77, 27,364.72 and 11,331.20

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Solution

The fourth proportional to 19,830.77, 27,364.72 and 11,331.20 is: 15,636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.77 : 27,364.72 = 11,331.20 : x
  2. Step 2: Convert to fraction form
    19,830.77/27,364.72 = 11,331.20/x
  3. Step 3: Cross multiply
    19,830.77x = 27,364.72 × 11,331.20
  4. Step 4: Simplify right side
    19,830.77x = 310,075,115.26
  5. Step 5: Solve for x
    x = 310,075,115.26/19,830.77
  6. Step 6: Final answer
    x = 15,636.06

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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.