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Finding the Fourth Proportional to 13,575.16, 18,731.82 and 7,606.36

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Solution

The fourth proportional to 13,575.16, 18,731.82 and 7,606.36 is: 10,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.16 : 18,731.82 = 7,606.36 : x
  2. Step 2: Convert to fraction form
    13,575.16/18,731.82 = 7,606.36/x
  3. Step 3: Cross multiply
    13,575.16x = 18,731.82 × 7,606.36
  4. Step 4: Simplify right side
    13,575.16x = 142,480,966.38
  5. Step 5: Solve for x
    x = 142,480,966.38/13,575.16
  6. Step 6: Final answer
    x = 10,495.71

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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.