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Finding the Fourth Proportional to 25,693.61, 35,461.80 and 15,083.82

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Solution

The fourth proportional to 25,693.61, 35,461.80 and 15,083.82 is: 20,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.61 : 35,461.80 = 15,083.82 : x
  2. Step 2: Convert to fraction form
    25,693.61/35,461.80 = 15,083.82/x
  3. Step 3: Cross multiply
    25,693.61x = 35,461.80 × 15,083.82
  4. Step 4: Simplify right side
    25,693.61x = 534,899,408.08
  5. Step 5: Solve for x
    x = 534,899,408.08/25,693.61
  6. Step 6: Final answer
    x = 20,818.39

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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.