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Finding the Fourth Proportional to 30,005.52, 41,408 and 16,577.36

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Solution

The fourth proportional to 30,005.52, 41,408 and 16,577.36 is: 22,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.52 : 41,408 = 16,577.36 : x
  2. Step 2: Convert to fraction form
    30,005.52/41,408 = 16,577.36/x
  3. Step 3: Cross multiply
    30,005.52x = 41,408 × 16,577.36
  4. Step 4: Simplify right side
    30,005.52x = 686,435,322.88
  5. Step 5: Solve for x
    x = 686,435,322.88/30,005.52
  6. Step 6: Final answer
    x = 22,876.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.