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Finding the Fourth Proportional to 13,507.93, 20,261.63 and 6,107.21

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Solution

The fourth proportional to 13,507.93, 20,261.63 and 6,107.21 is: 9,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.93 : 20,261.63 = 6,107.21 : x
  2. Step 2: Convert to fraction form
    13,507.93/20,261.63 = 6,107.21/x
  3. Step 3: Cross multiply
    13,507.93x = 20,261.63 × 6,107.21
  4. Step 4: Simplify right side
    13,507.93x = 123,742,095.27
  5. Step 5: Solve for x
    x = 123,742,095.27/13,507.93
  6. Step 6: Final answer
    x = 9,160.70

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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.