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Finding the Fourth Proportional to 23,661.10, 32,652.07 and 13,050.50

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Solution

The fourth proportional to 23,661.10, 32,652.07 and 13,050.50 is: 18,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,661.10 : 32,652.07 = 13,050.50 : x
  2. Step 2: Convert to fraction form
    23,661.10/32,652.07 = 13,050.50/x
  3. Step 3: Cross multiply
    23,661.10x = 32,652.07 × 13,050.50
  4. Step 4: Simplify right side
    23,661.10x = 426,125,839.54
  5. Step 5: Solve for x
    x = 426,125,839.54/23,661.10
  6. Step 6: Final answer
    x = 18,009.55

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Why These Related Problems?

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