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Finding the Fourth Proportional to 13,456.58, 18,557.19 and 10,264.20

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Solution

The fourth proportional to 13,456.58, 18,557.19 and 10,264.20 is: 14,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.58 : 18,557.19 = 10,264.20 : x
  2. Step 2: Convert to fraction form
    13,456.58/18,557.19 = 10,264.20/x
  3. Step 3: Cross multiply
    13,456.58x = 18,557.19 × 10,264.20
  4. Step 4: Simplify right side
    13,456.58x = 190,474,735.26
  5. Step 5: Solve for x
    x = 190,474,735.26/13,456.58
  6. Step 6: Final answer
    x = 14,154.77

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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.