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Finding the Fourth Proportional to 25,012.16, 34,512 and 14,256.84

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Solution

The fourth proportional to 25,012.16, 34,512 and 14,256.84 is: 19,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,012.16 : 34,512 = 14,256.84 : x
  2. Step 2: Convert to fraction form
    25,012.16/34,512 = 14,256.84/x
  3. Step 3: Cross multiply
    25,012.16x = 34,512 × 14,256.84
  4. Step 4: Simplify right side
    25,012.16x = 492,032,062.08
  5. Step 5: Solve for x
    x = 492,032,062.08/25,012.16
  6. Step 6: Final answer
    x = 19,671.71

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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.