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Finding the Fourth Proportional to 13,357.44, 18,416.16 and 9,158.40

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Solution

The fourth proportional to 13,357.44, 18,416.16 and 9,158.40 is: 12,626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.44 : 18,416.16 = 9,158.40 : x
  2. Step 2: Convert to fraction form
    13,357.44/18,416.16 = 9,158.40/x
  3. Step 3: Cross multiply
    13,357.44x = 18,416.16 × 9,158.40
  4. Step 4: Simplify right side
    13,357.44x = 168,662,559.74
  5. Step 5: Solve for x
    x = 168,662,559.74/13,357.44
  6. Step 6: Final answer
    x = 12,626.86

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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.