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Finding the Fourth Proportional to 23,746.50, 32,767.65 and 13,135.86

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Solution

The fourth proportional to 23,746.50, 32,767.65 and 13,135.86 is: 18,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.50 : 32,767.65 = 13,135.86 : x
  2. Step 2: Convert to fraction form
    23,746.50/32,767.65 = 13,135.86/x
  3. Step 3: Cross multiply
    23,746.50x = 32,767.65 × 13,135.86
  4. Step 4: Simplify right side
    23,746.50x = 430,431,262.93
  5. Step 5: Solve for x
    x = 430,431,262.93/23,746.50
  6. Step 6: Final answer
    x = 18,126.09

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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.