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Finding the Fourth Proportional to 13,546.12, 18,693.95 and 7,578.45

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Solution

The fourth proportional to 13,546.12, 18,693.95 and 7,578.45 is: 10,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.12 : 18,693.95 = 7,578.45 : x
  2. Step 2: Convert to fraction form
    13,546.12/18,693.95 = 7,578.45/x
  3. Step 3: Cross multiply
    13,546.12x = 18,693.95 × 7,578.45
  4. Step 4: Simplify right side
    13,546.12x = 141,671,165.38
  5. Step 5: Solve for x
    x = 141,671,165.38/13,546.12
  6. Step 6: Final answer
    x = 10,458.43

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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.