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Finding the Fourth Proportional to 11,506.86, 17,176.28 and 9,873.90

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Solution

The fourth proportional to 11,506.86, 17,176.28 and 9,873.90 is: 14,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.86 : 17,176.28 = 9,873.90 : x
  2. Step 2: Convert to fraction form
    11,506.86/17,176.28 = 9,873.90/x
  3. Step 3: Cross multiply
    11,506.86x = 17,176.28 × 9,873.90
  4. Step 4: Simplify right side
    11,506.86x = 169,596,821.72
  5. Step 5: Solve for x
    x = 169,596,821.72/11,506.86
  6. Step 6: Final answer
    x = 14,738.76

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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.