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Finding the Fourth Proportional to 13,343.19, 18,392.40 and 10,506.07

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Solution

The fourth proportional to 13,343.19, 18,392.40 and 10,506.07 is: 14,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.19 : 18,392.40 = 10,506.07 : x
  2. Step 2: Convert to fraction form
    13,343.19/18,392.40 = 10,506.07/x
  3. Step 3: Cross multiply
    13,343.19x = 18,392.40 × 10,506.07
  4. Step 4: Simplify right side
    13,343.19x = 193,231,697.38
  5. Step 5: Solve for x
    x = 193,231,697.38/13,343.19
  6. Step 6: Final answer
    x = 14,481.67

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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.