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Finding the Fourth Proportional to 11,668.86, 17,402.85 and 9,924.93

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Solution

The fourth proportional to 11,668.86, 17,402.85 and 9,924.93 is: 14,801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.86 : 17,402.85 = 9,924.93 : x
  2. Step 2: Convert to fraction form
    11,668.86/17,402.85 = 9,924.93/x
  3. Step 3: Cross multiply
    11,668.86x = 17,402.85 × 9,924.93
  4. Step 4: Simplify right side
    11,668.86x = 172,722,068.05
  5. Step 5: Solve for x
    x = 172,722,068.05/11,668.86
  6. Step 6: Final answer
    x = 14,801.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.