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Finding the Fourth Proportional to 14,596.26, 20,145.74 and 9,498.12

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Solution

The fourth proportional to 14,596.26, 20,145.74 and 9,498.12 is: 13,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.26 : 20,145.74 = 9,498.12 : x
  2. Step 2: Convert to fraction form
    14,596.26/20,145.74 = 9,498.12/x
  3. Step 3: Cross multiply
    14,596.26x = 20,145.74 × 9,498.12
  4. Step 4: Simplify right side
    14,596.26x = 191,346,656.01
  5. Step 5: Solve for x
    x = 191,346,656.01/14,596.26
  6. Step 6: Final answer
    x = 13,109.29

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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.