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Finding the Fourth Proportional to 25,443.78, 35,114.49 and 14,116.83

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Solution

The fourth proportional to 25,443.78, 35,114.49 and 14,116.83 is: 19,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443.78 : 35,114.49 = 14,116.83 : x
  2. Step 2: Convert to fraction form
    25,443.78/35,114.49 = 14,116.83/x
  3. Step 3: Cross multiply
    25,443.78x = 35,114.49 × 14,116.83
  4. Step 4: Simplify right side
    25,443.78x = 495,705,285.87
  5. Step 5: Solve for x
    x = 495,705,285.87/25,443.78
  6. Step 6: Final answer
    x = 19,482.38

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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.