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Finding the Fourth Proportional to 25,577.75, 35,302.16 and 14,399.75

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Solution

The fourth proportional to 25,577.75, 35,302.16 and 14,399.75 is: 19,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.75 : 35,302.16 = 14,399.75 : x
  2. Step 2: Convert to fraction form
    25,577.75/35,302.16 = 14,399.75/x
  3. Step 3: Cross multiply
    25,577.75x = 35,302.16 × 14,399.75
  4. Step 4: Simplify right side
    25,577.75x = 508,342,278.46
  5. Step 5: Solve for x
    x = 508,342,278.46/25,577.75
  6. Step 6: Final answer
    x = 19,874.39

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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.