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Finding the Fourth Proportional to 12,400.36, 18,582.31 and 9,774.15

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Solution

The fourth proportional to 12,400.36, 18,582.31 and 9,774.15 is: 14,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.36 : 18,582.31 = 9,774.15 : x
  2. Step 2: Convert to fraction form
    12,400.36/18,582.31 = 9,774.15/x
  3. Step 3: Cross multiply
    12,400.36x = 18,582.31 × 9,774.15
  4. Step 4: Simplify right side
    12,400.36x = 181,626,285.29
  5. Step 5: Solve for x
    x = 181,626,285.29/12,400.36
  6. Step 6: Final answer
    x = 14,646.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.