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Finding the Fourth Proportional to 23,502.47, 35,242.36 and 13,644.23

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Solution

The fourth proportional to 23,502.47, 35,242.36 and 13,644.23 is: 20,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.47 : 35,242.36 = 13,644.23 : x
  2. Step 2: Convert to fraction form
    23,502.47/35,242.36 = 13,644.23/x
  3. Step 3: Cross multiply
    23,502.47x = 35,242.36 × 13,644.23
  4. Step 4: Simplify right side
    23,502.47x = 480,854,655.26
  5. Step 5: Solve for x
    x = 480,854,655.26/23,502.47
  6. Step 6: Final answer
    x = 20,459.75

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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.