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Finding the Fourth Proportional to 25,753.84, 35,537.36 and 14,421.76

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Solution

The fourth proportional to 25,753.84, 35,537.36 and 14,421.76 is: 19,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.84 : 35,537.36 = 14,421.76 : x
  2. Step 2: Convert to fraction form
    25,753.84/35,537.36 = 14,421.76/x
  3. Step 3: Cross multiply
    25,753.84x = 35,537.36 × 14,421.76
  4. Step 4: Simplify right side
    25,753.84x = 512,511,276.95
  5. Step 5: Solve for x
    x = 512,511,276.95/25,753.84
  6. Step 6: Final answer
    x = 19,900.38

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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.