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Finding the Fourth Proportional to 14,582.39, 20,107.79 and 9,858.47

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Solution

The fourth proportional to 14,582.39, 20,107.79 and 9,858.47 is: 13,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.39 : 20,107.79 = 9,858.47 : x
  2. Step 2: Convert to fraction form
    14,582.39/20,107.79 = 9,858.47/x
  3. Step 3: Cross multiply
    14,582.39x = 20,107.79 × 9,858.47
  4. Step 4: Simplify right side
    14,582.39x = 198,231,894.65
  5. Step 5: Solve for x
    x = 198,231,894.65/14,582.39
  6. Step 6: Final answer
    x = 13,593.93

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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.