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Finding the Fourth Proportional to 25,534.31, 35,236.71 and 14,203.82

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Solution

The fourth proportional to 25,534.31, 35,236.71 and 14,203.82 is: 19,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.31 : 35,236.71 = 14,203.82 : x
  2. Step 2: Convert to fraction form
    25,534.31/35,236.71 = 14,203.82/x
  3. Step 3: Cross multiply
    25,534.31x = 35,236.71 × 14,203.82
  4. Step 4: Simplify right side
    25,534.31x = 500,495,710.05
  5. Step 5: Solve for x
    x = 500,495,710.05/25,534.31
  6. Step 6: Final answer
    x = 19,600.91

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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.