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Finding the Fourth Proportional to 13,603.37, 20,410.86 and 5,707.84

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Solution

The fourth proportional to 13,603.37, 20,410.86 and 5,707.84 is: 8,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.37 : 20,410.86 = 5,707.84 : x
  2. Step 2: Convert to fraction form
    13,603.37/20,410.86 = 5,707.84/x
  3. Step 3: Cross multiply
    13,603.37x = 20,410.86 × 5,707.84
  4. Step 4: Simplify right side
    13,603.37x = 116,501,973.14
  5. Step 5: Solve for x
    x = 116,501,973.14/13,603.37
  6. Step 6: Final answer
    x = 8,564.20

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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.