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Finding the Fourth Proportional to 25,574.40, 38,304 and 13,875.84

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Solution

The fourth proportional to 25,574.40, 38,304 and 13,875.84 is: 20,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.40 : 38,304 = 13,875.84 : x
  2. Step 2: Convert to fraction form
    25,574.40/38,304 = 13,875.84/x
  3. Step 3: Cross multiply
    25,574.40x = 38,304 × 13,875.84
  4. Step 4: Simplify right side
    25,574.40x = 531,500,175.36
  5. Step 5: Solve for x
    x = 531,500,175.36/25,574.40
  6. Step 6: Final answer
    x = 20,782.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.