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Finding the Fourth Proportional to 13,389.45, 18,475.92 and 7,419.63

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Solution

The fourth proportional to 13,389.45, 18,475.92 and 7,419.63 is: 10,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,389.45 : 18,475.92 = 7,419.63 : x
  2. Step 2: Convert to fraction form
    13,389.45/18,475.92 = 7,419.63/x
  3. Step 3: Cross multiply
    13,389.45x = 18,475.92 × 7,419.63
  4. Step 4: Simplify right side
    13,389.45x = 137,084,490.31
  5. Step 5: Solve for x
    x = 137,084,490.31/13,389.45
  6. Step 6: Final answer
    x = 10,238.25

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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.