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Finding the Fourth Proportional to 25,751.70, 35,537.87 and 14,573.70

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Solution

The fourth proportional to 25,751.70, 35,537.87 and 14,573.70 is: 20,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.70 : 35,537.87 = 14,573.70 : x
  2. Step 2: Convert to fraction form
    25,751.70/35,537.87 = 14,573.70/x
  3. Step 3: Cross multiply
    25,751.70x = 35,537.87 × 14,573.70
  4. Step 4: Simplify right side
    25,751.70x = 517,918,256.02
  5. Step 5: Solve for x
    x = 517,918,256.02/25,751.70
  6. Step 6: Final answer
    x = 20,112.00

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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.