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Finding the Fourth Proportional to 11,632.86, 17,471.67 and 9,970.74

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Solution

The fourth proportional to 11,632.86, 17,471.67 and 9,970.74 is: 14,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.86 : 17,471.67 = 9,970.74 : x
  2. Step 2: Convert to fraction form
    11,632.86/17,471.67 = 9,970.74/x
  3. Step 3: Cross multiply
    11,632.86x = 17,471.67 × 9,970.74
  4. Step 4: Simplify right side
    11,632.86x = 174,205,478.94
  5. Step 5: Solve for x
    x = 174,205,478.94/11,632.86
  6. Step 6: Final answer
    x = 14,975.29

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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.