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Finding the Fourth Proportional to 16,166.69, 22,312.76 and 9,359.72

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Solution

The fourth proportional to 16,166.69, 22,312.76 and 9,359.72 is: 12,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.69 : 22,312.76 = 9,359.72 : x
  2. Step 2: Convert to fraction form
    16,166.69/22,312.76 = 9,359.72/x
  3. Step 3: Cross multiply
    16,166.69x = 22,312.76 × 9,359.72
  4. Step 4: Simplify right side
    16,166.69x = 208,841,186.03
  5. Step 5: Solve for x
    x = 208,841,186.03/16,166.69
  6. Step 6: Final answer
    x = 12,917.99

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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.