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Finding the Fourth Proportional to 14,898.24, 20,559.71 and 8,184

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Solution

The fourth proportional to 14,898.24, 20,559.71 and 8,184 is: 11,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898.24 : 20,559.71 = 8,184 : x
  2. Step 2: Convert to fraction form
    14,898.24/20,559.71 = 8,184/x
  3. Step 3: Cross multiply
    14,898.24x = 20,559.71 × 8,184
  4. Step 4: Simplify right side
    14,898.24x = 168,260,625.72
  5. Step 5: Solve for x
    x = 168,260,625.72/14,898.24
  6. Step 6: Final answer
    x = 11,293.99

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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.