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Finding the Fourth Proportional to 13,642.58, 20,473.59 and 5,853.62

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Solution

The fourth proportional to 13,642.58, 20,473.59 and 5,853.62 is: 8,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.58 : 20,473.59 = 5,853.62 : x
  2. Step 2: Convert to fraction form
    13,642.58/20,473.59 = 5,853.62/x
  3. Step 3: Cross multiply
    13,642.58x = 20,473.59 × 5,853.62
  4. Step 4: Simplify right side
    13,642.58x = 119,844,689.03
  5. Step 5: Solve for x
    x = 119,844,689.03/13,642.58
  6. Step 6: Final answer
    x = 8,784.60

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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.