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Finding the Fourth Proportional to 25,799.31, 35,602.47 and 14,314.23

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Solution

The fourth proportional to 25,799.31, 35,602.47 and 14,314.23 is: 19,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,799.31 : 35,602.47 = 14,314.23 : x
  2. Step 2: Convert to fraction form
    25,799.31/35,602.47 = 14,314.23/x
  3. Step 3: Cross multiply
    25,799.31x = 35,602.47 × 14,314.23
  4. Step 4: Simplify right side
    25,799.31x = 509,621,944.15
  5. Step 5: Solve for x
    x = 509,621,944.15/25,799.31
  6. Step 6: Final answer
    x = 19,753.32

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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.