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Finding the Fourth Proportional to 25,734.66, 35,505.74 and 14,402.36

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Solution

The fourth proportional to 25,734.66, 35,505.74 and 14,402.36 is: 19,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,734.66 : 35,505.74 = 14,402.36 : x
  2. Step 2: Convert to fraction form
    25,734.66/35,505.74 = 14,402.36/x
  3. Step 3: Cross multiply
    25,734.66x = 35,505.74 × 14,402.36
  4. Step 4: Simplify right side
    25,734.66x = 511,366,449.55
  5. Step 5: Solve for x
    x = 511,366,449.55/25,734.66
  6. Step 6: Final answer
    x = 19,870.73

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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.