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Finding the Fourth Proportional to 13,521.45, 18,658.54 and 7,471.43

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Solution

The fourth proportional to 13,521.45, 18,658.54 and 7,471.43 is: 10,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.45 : 18,658.54 = 7,471.43 : x
  2. Step 2: Convert to fraction form
    13,521.45/18,658.54 = 7,471.43/x
  3. Step 3: Cross multiply
    13,521.45x = 18,658.54 × 7,471.43
  4. Step 4: Simplify right side
    13,521.45x = 139,406,031.50
  5. Step 5: Solve for x
    x = 139,406,031.50/13,521.45
  6. Step 6: Final answer
    x = 10,309.99

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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.