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Finding the Fourth Proportional to 26,541.88, 39,816.48 and 9,007

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Solution

The fourth proportional to 26,541.88, 39,816.48 and 9,007 is: 13,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,541.88 : 39,816.48 = 9,007 : x
  2. Step 2: Convert to fraction form
    26,541.88/39,816.48 = 9,007/x
  3. Step 3: Cross multiply
    26,541.88x = 39,816.48 × 9,007
  4. Step 4: Simplify right side
    26,541.88x = 358,627,035.36
  5. Step 5: Solve for x
    x = 358,627,035.36/26,541.88
  6. Step 6: Final answer
    x = 13,511.74

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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.