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Finding the Fourth Proportional to 23,567.53, 35,305.03 and 13,686.14

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Solution

The fourth proportional to 23,567.53, 35,305.03 and 13,686.14 is: 20,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.53 : 35,305.03 = 13,686.14 : x
  2. Step 2: Convert to fraction form
    23,567.53/35,305.03 = 13,686.14/x
  3. Step 3: Cross multiply
    23,567.53x = 35,305.03 × 13,686.14
  4. Step 4: Simplify right side
    23,567.53x = 483,189,583.28
  5. Step 5: Solve for x
    x = 483,189,583.28/23,567.53
  6. Step 6: Final answer
    x = 20,502.34

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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.