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Finding the Fourth Proportional to 24,742.50, 34,144.65 and 13,564.26

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Solution

The fourth proportional to 24,742.50, 34,144.65 and 13,564.26 is: 18,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.50 : 34,144.65 = 13,564.26 : x
  2. Step 2: Convert to fraction form
    24,742.50/34,144.65 = 13,564.26/x
  3. Step 3: Cross multiply
    24,742.50x = 34,144.65 × 13,564.26
  4. Step 4: Simplify right side
    24,742.50x = 463,146,910.21
  5. Step 5: Solve for x
    x = 463,146,910.21/24,742.50
  6. Step 6: Final answer
    x = 18,718.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.