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Finding the Fourth Proportional to 23,841.64, 32,901.72 and 13,232.26

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Solution

The fourth proportional to 23,841.64, 32,901.72 and 13,232.26 is: 18,260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.64 : 32,901.72 = 13,232.26 : x
  2. Step 2: Convert to fraction form
    23,841.64/32,901.72 = 13,232.26/x
  3. Step 3: Cross multiply
    23,841.64x = 32,901.72 × 13,232.26
  4. Step 4: Simplify right side
    23,841.64x = 435,364,113.49
  5. Step 5: Solve for x
    x = 435,364,113.49/23,841.64
  6. Step 6: Final answer
    x = 18,260.66

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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.