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Finding the Fourth Proportional to 25,402.46, 35,054.40 and 14,072.42

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Solution

The fourth proportional to 25,402.46, 35,054.40 and 14,072.42 is: 19,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,402.46 : 35,054.40 = 14,072.42 : x
  2. Step 2: Convert to fraction form
    25,402.46/35,054.40 = 14,072.42/x
  3. Step 3: Cross multiply
    25,402.46x = 35,054.40 × 14,072.42
  4. Step 4: Simplify right side
    25,402.46x = 493,300,239.65
  5. Step 5: Solve for x
    x = 493,300,239.65/25,402.46
  6. Step 6: Final answer
    x = 19,419.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.