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Finding the Fourth Proportional to 14,956.21, 20,632.62 and 9,576.10

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Solution

The fourth proportional to 14,956.21, 20,632.62 and 9,576.10 is: 13,210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956.21 : 20,632.62 = 9,576.10 : x
  2. Step 2: Convert to fraction form
    14,956.21/20,632.62 = 9,576.10/x
  3. Step 3: Cross multiply
    14,956.21x = 20,632.62 × 9,576.10
  4. Step 4: Simplify right side
    14,956.21x = 197,580,032.38
  5. Step 5: Solve for x
    x = 197,580,032.38/14,956.21
  6. Step 6: Final answer
    x = 13,210.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.