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Finding the Fourth Proportional to 26,564, 39,862.16 and 10,979.60

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Solution

The fourth proportional to 26,564, 39,862.16 and 10,979.60 is: 16,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564 : 39,862.16 = 10,979.60 : x
  2. Step 2: Convert to fraction form
    26,564/39,862.16 = 10,979.60/x
  3. Step 3: Cross multiply
    26,564x = 39,862.16 × 10,979.60
  4. Step 4: Simplify right side
    26,564x = 437,670,571.94
  5. Step 5: Solve for x
    x = 437,670,571.94/26,564
  6. Step 6: Final answer
    x = 16,476.08

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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.