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Finding the Fourth Proportional to 13,863.64, 19,131.60 and 7,575.88

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Solution

The fourth proportional to 13,863.64, 19,131.60 and 7,575.88 is: 10,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.64 : 19,131.60 = 7,575.88 : x
  2. Step 2: Convert to fraction form
    13,863.64/19,131.60 = 7,575.88/x
  3. Step 3: Cross multiply
    13,863.64x = 19,131.60 × 7,575.88
  4. Step 4: Simplify right side
    13,863.64x = 144,938,705.81
  5. Step 5: Solve for x
    x = 144,938,705.81/13,863.64
  6. Step 6: Final answer
    x = 10,454.59

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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.