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Finding the Fourth Proportional to 25,256.25, 34,854.71 and 14,078.25

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Solution

The fourth proportional to 25,256.25, 34,854.71 and 14,078.25 is: 19,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256.25 : 34,854.71 = 14,078.25 : x
  2. Step 2: Convert to fraction form
    25,256.25/34,854.71 = 14,078.25/x
  3. Step 3: Cross multiply
    25,256.25x = 34,854.71 × 14,078.25
  4. Step 4: Simplify right side
    25,256.25x = 490,693,250.67
  5. Step 5: Solve for x
    x = 490,693,250.67/25,256.25
  6. Step 6: Final answer
    x = 19,428.59

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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.