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Finding the Fourth Proportional to 13,634.64, 20,445.12 and 7,058.88

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Solution

The fourth proportional to 13,634.64, 20,445.12 and 7,058.88 is: 10,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.64 : 20,445.12 = 7,058.88 : x
  2. Step 2: Convert to fraction form
    13,634.64/20,445.12 = 7,058.88/x
  3. Step 3: Cross multiply
    13,634.64x = 20,445.12 × 7,058.88
  4. Step 4: Simplify right side
    13,634.64x = 144,319,648.67
  5. Step 5: Solve for x
    x = 144,319,648.67/13,634.64
  6. Step 6: Final answer
    x = 10,584.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.