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Finding the Fourth Proportional to 23,245.55, 32,087.09 and 13,814

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Solution

The fourth proportional to 23,245.55, 32,087.09 and 13,814 is: 19,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.55 : 32,087.09 = 13,814 : x
  2. Step 2: Convert to fraction form
    23,245.55/32,087.09 = 13,814/x
  3. Step 3: Cross multiply
    23,245.55x = 32,087.09 × 13,814
  4. Step 4: Simplify right side
    23,245.55x = 443,251,009.46
  5. Step 5: Solve for x
    x = 443,251,009.46/23,245.55
  6. Step 6: Final answer
    x = 19,068.21

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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.