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Finding the Fourth Proportional to 25,731.32, 35,506.74 and 14,400.22

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Solution

The fourth proportional to 25,731.32, 35,506.74 and 14,400.22 is: 19,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731.32 : 35,506.74 = 14,400.22 : x
  2. Step 2: Convert to fraction form
    25,731.32/35,506.74 = 14,400.22/x
  3. Step 3: Cross multiply
    25,731.32x = 35,506.74 × 14,400.22
  4. Step 4: Simplify right side
    25,731.32x = 511,304,867.48
  5. Step 5: Solve for x
    x = 511,304,867.48/25,731.32
  6. Step 6: Final answer
    x = 19,870.91

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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.