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Finding the Fourth Proportional to 13,853.12, 19,089.84 and 9,867.20

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Solution

The fourth proportional to 13,853.12, 19,089.84 and 9,867.20 is: 13,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.12 : 19,089.84 = 9,867.20 : x
  2. Step 2: Convert to fraction form
    13,853.12/19,089.84 = 9,867.20/x
  3. Step 3: Cross multiply
    13,853.12x = 19,089.84 × 9,867.20
  4. Step 4: Simplify right side
    13,853.12x = 188,363,269.25
  5. Step 5: Solve for x
    x = 188,363,269.25/13,853.12
  6. Step 6: Final answer
    x = 13,597.17

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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.