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Finding the Fourth Proportional to 14,718.22, 20,310.53 and 8,345.24

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Solution

The fourth proportional to 14,718.22, 20,310.53 and 8,345.24 is: 11,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.22 : 20,310.53 = 8,345.24 : x
  2. Step 2: Convert to fraction form
    14,718.22/20,310.53 = 8,345.24/x
  3. Step 3: Cross multiply
    14,718.22x = 20,310.53 × 8,345.24
  4. Step 4: Simplify right side
    14,718.22x = 169,496,247.38
  5. Step 5: Solve for x
    x = 169,496,247.38/14,718.22
  6. Step 6: Final answer
    x = 11,516.08

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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.