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Finding the Fourth Proportional to 13,365.50, 18,423.14 and 10,528.38

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Solution

The fourth proportional to 13,365.50, 18,423.14 and 10,528.38 is: 14,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365.50 : 18,423.14 = 10,528.38 : x
  2. Step 2: Convert to fraction form
    13,365.50/18,423.14 = 10,528.38/x
  3. Step 3: Cross multiply
    13,365.50x = 18,423.14 × 10,528.38
  4. Step 4: Simplify right side
    13,365.50x = 193,965,818.71
  5. Step 5: Solve for x
    x = 193,965,818.71/13,365.50
  6. Step 6: Final answer
    x = 14,512.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.