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Finding the Fourth Proportional to 13,574.40, 18,732.55 and 7,606.12

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Solution

The fourth proportional to 13,574.40, 18,732.55 and 7,606.12 is: 10,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.40 : 18,732.55 = 7,606.12 : x
  2. Step 2: Convert to fraction form
    13,574.40/18,732.55 = 7,606.12/x
  3. Step 3: Cross multiply
    13,574.40x = 18,732.55 × 7,606.12
  4. Step 4: Simplify right side
    13,574.40x = 142,482,023.21
  5. Step 5: Solve for x
    x = 142,482,023.21/13,574.40
  6. Step 6: Final answer
    x = 10,496.38

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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.