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Finding the Fourth Proportional to 16,578.30, 22,878.05 and 9,024.63

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Solution

The fourth proportional to 16,578.30, 22,878.05 and 9,024.63 is: 12,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.30 : 22,878.05 = 9,024.63 : x
  2. Step 2: Convert to fraction form
    16,578.30/22,878.05 = 9,024.63/x
  3. Step 3: Cross multiply
    16,578.30x = 22,878.05 × 9,024.63
  4. Step 4: Simplify right side
    16,578.30x = 206,465,934.14
  5. Step 5: Solve for x
    x = 206,465,934.14/16,578.30
  6. Step 6: Final answer
    x = 12,453.98

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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.