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Finding the Fourth Proportional to 13,548.31, 18,695.80 and 7,578.95

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Solution

The fourth proportional to 13,548.31, 18,695.80 and 7,578.95 is: 10,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.31 : 18,695.80 = 7,578.95 : x
  2. Step 2: Convert to fraction form
    13,548.31/18,695.80 = 7,578.95/x
  3. Step 3: Cross multiply
    13,548.31x = 18,695.80 × 7,578.95
  4. Step 4: Simplify right side
    13,548.31x = 141,694,533.41
  5. Step 5: Solve for x
    x = 141,694,533.41/13,548.31
  6. Step 6: Final answer
    x = 10,458.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.