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Finding the Fourth Proportional to 25,767, 38,655.36 and 11,916

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Solution

The fourth proportional to 25,767, 38,655.36 and 11,916 is: 17,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,767 : 38,655.36 = 11,916 : x
  2. Step 2: Convert to fraction form
    25,767/38,655.36 = 11,916/x
  3. Step 3: Cross multiply
    25,767x = 38,655.36 × 11,916
  4. Step 4: Simplify right side
    25,767x = 460,617,269.76
  5. Step 5: Solve for x
    x = 460,617,269.76/25,767
  6. Step 6: Final answer
    x = 17,876.25

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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.