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Finding the Fourth Proportional to 26,605.28, 39,913.04 and 10,188

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Solution

The fourth proportional to 26,605.28, 39,913.04 and 10,188 is: 15,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,605.28 : 39,913.04 = 10,188 : x
  2. Step 2: Convert to fraction form
    26,605.28/39,913.04 = 10,188/x
  3. Step 3: Cross multiply
    26,605.28x = 39,913.04 × 10,188
  4. Step 4: Simplify right side
    26,605.28x = 406,634,051.52
  5. Step 5: Solve for x
    x = 406,634,051.52/26,605.28
  6. Step 6: Final answer
    x = 15,283.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.