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Finding the Fourth Proportional to 14,514.66, 20,024.24 and 9,477.12

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Solution

The fourth proportional to 14,514.66, 20,024.24 and 9,477.12 is: 13,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.66 : 20,024.24 = 9,477.12 : x
  2. Step 2: Convert to fraction form
    14,514.66/20,024.24 = 9,477.12/x
  3. Step 3: Cross multiply
    14,514.66x = 20,024.24 × 9,477.12
  4. Step 4: Simplify right side
    14,514.66x = 189,772,125.39
  5. Step 5: Solve for x
    x = 189,772,125.39/14,514.66
  6. Step 6: Final answer
    x = 13,074.51

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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.