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Finding the Fourth Proportional to 16,830.12, 25,252.48 and 9,029.82

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Solution

The fourth proportional to 16,830.12, 25,252.48 and 9,029.82 is: 13,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.12 : 25,252.48 = 9,029.82 : x
  2. Step 2: Convert to fraction form
    16,830.12/25,252.48 = 9,029.82/x
  3. Step 3: Cross multiply
    16,830.12x = 25,252.48 × 9,029.82
  4. Step 4: Simplify right side
    16,830.12x = 228,025,454.94
  5. Step 5: Solve for x
    x = 228,025,454.94/16,830.12
  6. Step 6: Final answer
    x = 13,548.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.