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Finding the Fourth Proportional to 13,577.74, 20,386.05 and 10,078.54

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Solution

The fourth proportional to 13,577.74, 20,386.05 and 10,078.54 is: 15,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.74 : 20,386.05 = 10,078.54 : x
  2. Step 2: Convert to fraction form
    13,577.74/20,386.05 = 10,078.54/x
  3. Step 3: Cross multiply
    13,577.74x = 20,386.05 × 10,078.54
  4. Step 4: Simplify right side
    13,577.74x = 205,461,620.37
  5. Step 5: Solve for x
    x = 205,461,620.37/13,577.74
  6. Step 6: Final answer
    x = 15,132.24

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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.