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Finding the Fourth Proportional to 13,863, 19,131.08 and 7,575.40

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Solution

The fourth proportional to 13,863, 19,131.08 and 7,575.40 is: 10,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 19,131.08 = 7,575.40 : x
  2. Step 2: Convert to fraction form
    13,863/19,131.08 = 7,575.40/x
  3. Step 3: Cross multiply
    13,863x = 19,131.08 × 7,575.40
  4. Step 4: Simplify right side
    13,863x = 144,925,583.43
  5. Step 5: Solve for x
    x = 144,925,583.43/13,863
  6. Step 6: Final answer
    x = 10,454.13

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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.