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Finding the Fourth Proportional to 13,564.98, 20,356.92 and 4,800.24

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Solution

The fourth proportional to 13,564.98, 20,356.92 and 4,800.24 is: 7,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.98 : 20,356.92 = 4,800.24 : x
  2. Step 2: Convert to fraction form
    13,564.98/20,356.92 = 4,800.24/x
  3. Step 3: Cross multiply
    13,564.98x = 20,356.92 × 4,800.24
  4. Step 4: Simplify right side
    13,564.98x = 97,718,101.66
  5. Step 5: Solve for x
    x = 97,718,101.66/13,564.98
  6. Step 6: Final answer
    x = 7,203.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.