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Finding the Fourth Proportional to 24,509.88, 33,804 and 16,011.36

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Solution

The fourth proportional to 24,509.88, 33,804 and 16,011.36 is: 22,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.88 : 33,804 = 16,011.36 : x
  2. Step 2: Convert to fraction form
    24,509.88/33,804 = 16,011.36/x
  3. Step 3: Cross multiply
    24,509.88x = 33,804 × 16,011.36
  4. Step 4: Simplify right side
    24,509.88x = 541,248,013.44
  5. Step 5: Solve for x
    x = 541,248,013.44/24,509.88
  6. Step 6: Final answer
    x = 22,082.85

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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.