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Finding the Fourth Proportional to 14,561.76, 20,095.25 and 8,275.35

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Solution

The fourth proportional to 14,561.76, 20,095.25 and 8,275.35 is: 11,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.76 : 20,095.25 = 8,275.35 : x
  2. Step 2: Convert to fraction form
    14,561.76/20,095.25 = 8,275.35/x
  3. Step 3: Cross multiply
    14,561.76x = 20,095.25 × 8,275.35
  4. Step 4: Simplify right side
    14,561.76x = 166,295,227.09
  5. Step 5: Solve for x
    x = 166,295,227.09/14,561.76
  6. Step 6: Final answer
    x = 11,420.00

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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.