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Finding the Fourth Proportional to 23,236.40, 32,068.98 and 13,805

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Solution

The fourth proportional to 23,236.40, 32,068.98 and 13,805 is: 19,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236.40 : 32,068.98 = 13,805 : x
  2. Step 2: Convert to fraction form
    23,236.40/32,068.98 = 13,805/x
  3. Step 3: Cross multiply
    23,236.40x = 32,068.98 × 13,805
  4. Step 4: Simplify right side
    23,236.40x = 442,712,268.90
  5. Step 5: Solve for x
    x = 442,712,268.90/23,236.40
  6. Step 6: Final answer
    x = 19,052.53

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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.