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Finding the Fourth Proportional to 15,475.86, 21,349.17 and 9,183.78

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Solution

The fourth proportional to 15,475.86, 21,349.17 and 9,183.78 is: 12,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475.86 : 21,349.17 = 9,183.78 : x
  2. Step 2: Convert to fraction form
    15,475.86/21,349.17 = 9,183.78/x
  3. Step 3: Cross multiply
    15,475.86x = 21,349.17 × 9,183.78
  4. Step 4: Simplify right side
    15,475.86x = 196,066,080.46
  5. Step 5: Solve for x
    x = 196,066,080.46/15,475.86
  6. Step 6: Final answer
    x = 12,669.16

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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.