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Finding the Fourth Proportional to 25,709.80, 38,573.10 and 16,407.88

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Solution

The fourth proportional to 25,709.80, 38,573.10 and 16,407.88 is: 24,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.80 : 38,573.10 = 16,407.88 : x
  2. Step 2: Convert to fraction form
    25,709.80/38,573.10 = 16,407.88/x
  3. Step 3: Cross multiply
    25,709.80x = 38,573.10 × 16,407.88
  4. Step 4: Simplify right side
    25,709.80x = 632,902,796.03
  5. Step 5: Solve for x
    x = 632,902,796.03/25,709.80
  6. Step 6: Final answer
    x = 24,617.18

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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.