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Finding the Fourth Proportional to 14,561.64, 20,095.08 and 8,275.23

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Solution

The fourth proportional to 14,561.64, 20,095.08 and 8,275.23 is: 11,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.64 : 20,095.08 = 8,275.23 : x
  2. Step 2: Convert to fraction form
    14,561.64/20,095.08 = 8,275.23/x
  3. Step 3: Cross multiply
    14,561.64x = 20,095.08 × 8,275.23
  4. Step 4: Simplify right side
    14,561.64x = 166,291,408.87
  5. Step 5: Solve for x
    x = 166,291,408.87/14,561.64
  6. Step 6: Final answer
    x = 11,419.83

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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.