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Finding the Fourth Proportional to 14,814.41, 20,457.60 and 9,518.52

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Solution

The fourth proportional to 14,814.41, 20,457.60 and 9,518.52 is: 13,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.41 : 20,457.60 = 9,518.52 : x
  2. Step 2: Convert to fraction form
    14,814.41/20,457.60 = 9,518.52/x
  3. Step 3: Cross multiply
    14,814.41x = 20,457.60 × 9,518.52
  4. Step 4: Simplify right side
    14,814.41x = 194,726,115.77
  5. Step 5: Solve for x
    x = 194,726,115.77/14,814.41
  6. Step 6: Final answer
    x = 13,144.38

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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.