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Finding the Fourth Proportional to 25,563.87, 35,281.47 and 14,666.28

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Solution

The fourth proportional to 25,563.87, 35,281.47 and 14,666.28 is: 20,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.87 : 35,281.47 = 14,666.28 : x
  2. Step 2: Convert to fraction form
    25,563.87/35,281.47 = 14,666.28/x
  3. Step 3: Cross multiply
    25,563.87x = 35,281.47 × 14,666.28
  4. Step 4: Simplify right side
    25,563.87x = 517,447,917.83
  5. Step 5: Solve for x
    x = 517,447,917.83/25,563.87
  6. Step 6: Final answer
    x = 20,241.38

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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.