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Finding the Fourth Proportional to 16,415.98, 22,651.77 and 9,341.62

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Solution

The fourth proportional to 16,415.98, 22,651.77 and 9,341.62 is: 12,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.98 : 22,651.77 = 9,341.62 : x
  2. Step 2: Convert to fraction form
    16,415.98/22,651.77 = 9,341.62/x
  3. Step 3: Cross multiply
    16,415.98x = 22,651.77 × 9,341.62
  4. Step 4: Simplify right side
    16,415.98x = 211,604,227.67
  5. Step 5: Solve for x
    x = 211,604,227.67/16,415.98
  6. Step 6: Final answer
    x = 12,890.14

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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.